100312231120 has 20 divisors (see below), whose sum is σ = 233225937540. Its totient is φ = 40124892416.

The previous prime is 100312231111. The next prime is 100312231127. The reversal of 100312231120 is 21132213001.

It can be written as a sum of positive squares in 2 ways, for example, as 23166057616 + 77146173504 = 152204^2 + 277752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100312231094 and 100312231103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312231127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626951365 + ... + 626951524.

It is an arithmetic number, because the mean of its divisors is an integer number (11661296877).

Almost surely, 2^100312231120 is an apocalyptic number.

100312231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312231120 is an abundant number, since it is smaller than the sum of its proper divisors (132913706420).

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

100312231120 is a wasteful number, since it uses less digits than its factorization.

100312231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253902902 (or 1253902896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100312231120 its reverse (21132213001), we get a palindrome (121444444121).

The spelling of 100312231120 in words is "one hundred billion, three hundred twelve million, two hundred thirty-one thousand, one hundred twenty".