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121021110222100 = 225211734673227221
BaseRepresentation
bin11011100001000101101100…
…010010001111110100010100
3120212111111122020210212002021
4123201011230102033310110
5111330302213204101400
61105220155220422524
734330325633646214
oct3341055422176424
9525444566725067
10121021110222100
1135619845785450
12116a6850b47a44
13526b31b0bc79a
1421c564addc244
15ded08433c71a
hex6e116c48fd14

121021110222100 has 144 divisors (see below), whose sum is σ = 291036456599616. Its totient is φ = 43311874176000.

The previous prime is 121021110222097. The next prime is 121021110222121. The reversal of 121021110222100 is 1222011120121.

It is a super-2 number, since 2×1210211102221002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35886490 + ... + 39113710.

It is an arithmetic number, because the mean of its divisors is an integer number (2021086504164).

Almost surely, 2121021110222100 is an apocalyptic number.

121021110222100 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 121021110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145518228299808).

121021110222100 is an abundant number, since it is smaller than the sum of its proper divisors (170015346377516).

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

121021110222100 is a wasteful number, since it uses less digits than its factorization.

121021110222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227786 (or 3227779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121021110222100 its reverse (1222011120121), we get a palindrome (122243121342221).

The spelling of 121021110222100 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 467 550 730 803 934 1100 1460 1606 1825 1868 2335 3212 3650 4015 4670 5137 7300 8030 9340 10274 11675 16060 20075 20548 23350 25685 34091 40150 46700 51370 68182 80300 102740 128425 136364 170455 256850 340910 375001 513700 681820 750002 852275 1500004 1704550 1875005 3227221 3409100 3750010 6454442 7500020 9375025 12908884 16136105 18750050 32272210 35499431 37500100 64544420 70998862 80680525 141997724 161361050 177497155 235587133 322722100 354994310 471174266 709988620 887485775 942348532 1177935665 1507112207 1774971550 2355871330 2591458463 3014224414 3549943100 4711742660 5182916926 5889678325 6028448828 7535561035 10365833852 11779356650 12957292315 15071122070 16578234277 23558713300 25914584630 30142244140 33156468554 37677805175 51829169260 64786461575 66312937108 75355610350 82891171385 110019191111 129572923150 150711220700 165782342770 220038382222 259145846300 331564685540 414455856925 440076764444 550095955555 828911713850 1100191911110 1210211102221 1657823427700 2200383822220 2420422204442 2750479777775 4840844408884 5500959555550 6051055511105 11001919111100 12102111022210 24204222044420 30255277555525 60510555111050 121021110222100