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12101012120100 = 2235251897773503
BaseRepresentation
bin1011000000010111110010…
…0001110110001000100100
31120211211211100012110210210
42300011330201312020210
53041230333100320400
641423043410215420
72356161234611331
oct260057441661044
946754740173723
1012101012120100
1139460129617a2
121435310584570
1369a174ac1057
142db999223988
1515eb95e32950
hexb017c876224

12101012120100 has 72 divisors (see below), whose sum is σ = 35019013639680. Its totient is φ = 3226314270080.

The previous prime is 12101012119991. The next prime is 12101012120143. The reversal of 12101012120100 is 102121010121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2330052 + ... + 5443451.

It is an arithmetic number, because the mean of its divisors is an integer number (486375189440).

Almost surely, 212101012120100 is an apocalyptic number.

12101012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101012120100 is an abundant number, since it is smaller than the sum of its proper divisors (22918001519580).

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

12101012120100 is a wasteful number, since it uses less digits than its factorization.

12101012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778709 (or 7778702 counting only the distinct ones).

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

Adding to 12101012120100 its reverse (102121010121), we get a palindrome (12203133130221).

The spelling of 12101012120100 in words is "twelve trillion, one hundred one billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5189 10378 15567 20756 25945 31134 51890 62268 77835 103780 129725 155670 259450 311340 389175 518900 778350 1556700 7773503 15547006 23320509 31094012 38867515 46641018 77735030 93282036 116602545 155470060 194337575 233205090 388675150 466410180 583012725 777350300 1166025450 2332050900 40336707067 80673414134 121010121201 161346828268 201683535335 242020242402 403367070670 484040484804 605050606005 806734141340 1008417676675 1210101212010 2016835353350 2420202424020 3025253030025 4033670706700 6050506060050 12101012120100