100412314120 has 32 divisors (see below), whose sum is σ = 225939156120. Its totient is φ = 40162890240.

The previous prime is 100412314097. The next prime is 100412314159. The reversal of 100412314120 is 21413214001.

It can be written as a sum of positive squares in 4 ways, for example, as 67515786244 + 32896527876 = 259838^2 + 181374^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925444 + ... + 1028236.

Almost surely, 2^100412314120 is an apocalyptic number.

100412314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412314120 is an abundant number, since it is smaller than the sum of its proper divisors (125526842000).

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

100412314120 is a wasteful number, since it uses less digits than its factorization.

100412314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127225 (or 127221 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100412314120 its reverse (21413214001), we get a palindrome (121825528121).

The spelling of 100412314120 in words is "one hundred billion, four hundred twelve million, three hundred fourteen thousand, one hundred twenty".