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100121220001110 = 235711171832522407
BaseRepresentation
bin10110110000111101001001…
…110000001010110101010110
3111010111111100222010121200110
4112300331021300022311112
5101110341224310013420
6552535015320023450
730042343111145220
oct2660751160126526
9433444328117613
10100121220001110
11299a1197599180
12b2901b6001b86
1343b3510008559
141aa1c701b3410
15b895b1911ee0
hex5b0f49c0ad56

100121220001110 has 128 divisors (see below), whose sum is σ = 299601048305664. Its totient is φ = 20803190348160.

The previous prime is 100121220001097. The next prime is 100121220001247. The reversal of 100121220001110 is 11100022121001.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 38431527 + ... + 40953933.

It is an arithmetic number, because the mean of its divisors is an integer number (2340633189888).

Almost surely, 2100121220001110 is an apocalyptic number.

100121220001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121220001110 is an abundant number, since it is smaller than the sum of its proper divisors (199479828304554).

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

100121220001110 is a wasteful number, since it uses less digits than its factorization.

100121220001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539618.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121220001110 its reverse (11100022121001), we get a palindrome (111221242122111).

The spelling of 100121220001110 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 17183 34366 51549 85915 103098 120281 171830 189013 240562 257745 360843 378026 515490 567039 601405 721686 945065 1134078 1202810 1323091 1804215 1890130 2522407 2646182 2835195 3608430 3969273 5044814 5670390 6615455 7567221 7938546 12612035 13230910 15134442 17656849 19846365 25224070 27746477 35313698 37836105 39692730 52970547 55492954 75672210 83239431 88284245 105941094 138732385 166478862 176568490 194225339 264852735 277464770 388450678 416197155 529705470 582676017 832394310 971126695 1165352034 1942253390 2913380085 5826760170 43342519481 86685038962 130027558443 216712597405 260055116886 303397636367 433425194810 476767714291 606795272734 650137792215 910192909101 953535428582 1300275584430 1430303142873 1516988181835 1820385818202 2383838571455 2860606285746 3033976363670 3337374000037 4550964545505 4767677142910 6674748000074 7151515714365 9101929091010 10012122000111 14303031428730 16686870000185 20024244000222 33373740000370 50060610000555 100121220001110