100111132312220 has 96 divisors (see below), whose sum is σ = 217872900560448. Its totient is φ = 38622414200832.

The previous prime is 100111132312199. The next prime is 100111132312271. The reversal of 100111132312220 is 22213231111001.

It is a super-2 number, since 2×100111132312220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100111132312192 and 100111132312201.

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 31 ways as a sum of consecutive naturals, for example, 9666224 + ... + 17136456.

It is an arithmetic number, because the mean of its divisors is an integer number (2269509380838).

Almost surely, 2^{100111132312220} is an apocalyptic number.

100111132312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111132312220 is an abundant number, since it is smaller than the sum of its proper divisors (117761768248228).

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

100111132312220 is a wasteful number, since it uses less digits than its factorization.

100111132312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470519 (or 7470517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100111132312220 its reverse (22213231111001), we get a palindrome (122324363423221).

The spelling of 100111132312220 in words is "one hundred trillion, one hundred eleven billion, one hundred thirty-two million, three hundred twelve thousand, two hundred twenty".