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100121001020000 = 25545698797979
BaseRepresentation
bin10110110000111100111100…
…101100110100101001100000
3111010111110210201002020001222
4112300330330230310221200
5101110340302230120000
6552534541454314212
730042334511634302
oct2660747454645140
9433443721066058
10100121001020000
11299a1094a21454
12b2901547b8968
1343b34a683682c
141aa1c4d08d972
15b8959c5a8a85
hex5b0f3cb34a60

100121001020000 has 120 divisors (see below), whose sum is σ = 246745595665800. Its totient is φ = 39978012032000.

The previous prime is 100121001019969. The next prime is 100121001020003. The reversal of 100121001020000 is 20100121001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100121001020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121001020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6981011 + ... + 15778989.

It is an arithmetic number, because the mean of its divisors is an integer number (2056213297215).

Almost surely, 2100121001020000 is an apocalyptic number.

100121001020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123372797832900).

100121001020000 is an abundant number, since it is smaller than the sum of its proper divisors (146624594645800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121001020000 is an frugal number, since it uses more digits than its factorization.

100121001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798578 (or 8798555 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100121001020000 its reverse (20100121001), we get a palindrome (100141101141001).

The spelling of 100121001020000 in words is "one hundred trillion, one hundred twenty-one billion, one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 569 625 800 1000 1138 1250 2000 2276 2500 2845 4000 4552 5000 5690 9104 10000 11380 14225 18208 20000 22760 28450 45520 56900 71125 91040 113800 142250 227600 284500 355625 455200 569000 711250 1138000 1422500 2276000 2845000 5690000 8797979 11380000 17595958 35191916 43989895 70383832 87979790 140767664 175959580 219949475 281535328 351919160 439898950 703838320 879797900 1099747375 1407676640 1759595800 2199494750 3519191600 4398989500 5006050051 5498736875 7038383200 8797979000 10012100102 10997473750 17595958000 20024200204 21994947500 25030250255 35191916000 40048400408 43989895000 50060500510 80096800816 87979790000 100121001020 125151251275 160193601632 175959580000 200242002040 250302502550 400484004080 500605005100 625756256375 800968008160 1001210010200 1251512512750 2002420020400 2503025025500 3128781281875 4004840040800 5006050051000 6257562563750 10012100102000 12515125127500 20024200204000 25030250255000 50060500510000 100121001020000