100100605611123 has 32 divisors (see below), whose sum is σ = 159740107251200. Its totient is φ = 61586703999648.

The previous prime is 100100605611107. The next prime is 100100605611137. The reversal of 100100605611123 is 321116506001001.

100100605611123 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 60 + 561 + 11 + 23 = 666.

It is not a de Polignac number, because 100100605611123 - 2⁴ = 100100605611107 is a prime.

It is a super-2 number, since 2×100100605611123² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100605611143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30056263 + ... + 33220176.

It is an arithmetic number, because the mean of its divisors is an integer number (4991878351600).

Almost surely, 2^{100100605611123} is an apocalyptic number.

100100605611123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100100605611123 is a deficient number, since it is larger than the sum of its proper divisors (59639501640077).

100100605611123 is a wasteful number, since it uses less digits than its factorization.

100100605611123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63280968 (or 63280962 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100100605611123 in words is "one hundred trillion, one hundred billion, six hundred five million, six hundred eleven thousand, one hundred twenty-three".