100122313120 has 24 divisors (see below), whose sum is σ = 236538965124. Its totient is φ = 40048925184.

The previous prime is 100122313073. The next prime is 100122313133. The reversal of 100122313120 is 21313221001.

It can be written as a sum of positive squares in 2 ways, for example, as 99929325456 + 192987664 = 316116^2 + 13892^2 .

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 = 100122313094 and 100122313103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312882069 + ... + 312882388.

Almost surely, 2^100122313120 is an apocalyptic number.

100122313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122313120 is an abundant number, since it is smaller than the sum of its proper divisors (136416652004).

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

100122313120 is an equidigital number, since it uses as much as digits as its factorization.

100122313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625764472 (or 625764464 counting only the distinct ones).

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

Adding to 100122313120 its reverse (21313221001), we get a palindrome (121435534121).

The spelling of 100122313120 in words is "one hundred billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".