100556051110031 has 24 divisors (see below), whose sum is σ = 111644564325840. Its totient is φ = 90496110024320.

The previous prime is 100556051109953. The next prime is 100556051110037. The reversal of 100556051110031 is 130011150655001.

It is a de Polignac number, because none of the positive numbers 2^k-100556051110031 is a prime.

It is a super-2 number, since 2×100556051110031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100556051109976 and 100556051110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100556051110037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5431001 + ... + 15185778.

It is an arithmetic number, because the mean of its divisors is an integer number (4651856846910).

Almost surely, 2^{100556051110031} is an apocalyptic number.

100556051110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100556051110031 is a deficient number, since it is larger than the sum of its proper divisors (11088513215809).

100556051110031 is a wasteful number, since it uses less digits than its factorization.

100556051110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617207 (or 20617196 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 29.

The spelling of 100556051110031 in words is "one hundred trillion, five hundred fifty-six billion, fifty-one million, one hundred ten thousand, thirty-one".