100312011113220 has 48 divisors (see below), whose sum is σ = 312081812353920. Its totient is φ = 26749869630048.

The previous prime is 100312011113203. The next prime is 100312011113371. The reversal of 100312011113220 is 22311110213001.

100312011113220 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 201 + 111 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100312011113193 and 100312011113202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92881491232 + ... + 92881492311.

It is an arithmetic number, because the mean of its divisors is an integer number (6501704424040).

Almost surely, 2^{100312011113220} is an apocalyptic number.

100312011113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312011113220 is an abundant number, since it is smaller than the sum of its proper divisors (211769801240700).

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

100312011113220 is a wasteful number, since it uses less digits than its factorization.

100312011113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185762983561 (or 185762983553 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100312011113220 its reverse (22311110213001), we get a palindrome (122623121326221).

The spelling of 100312011113220 in words is "one hundred trillion, three hundred twelve billion, eleven million, one hundred thirteen thousand, two hundred twenty".