100400332120 has 64 divisors (see below), whose sum is σ = 249556723200. Its totient is φ = 36047057280.

The previous prime is 100400332103. The next prime is 100400332139. The reversal of 100400332120 is 21233004001.

It is a happy number.

It is a super-4 number, since 4×100400332120⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100400332094 and 100400332103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409434 + ... + 1478953.

It is an arithmetic number, because the mean of its divisors is an integer number (3899323800).

Almost surely, 2^100400332120 is an apocalyptic number.

100400332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100400332120 is an abundant number, since it is smaller than the sum of its proper divisors (149156391080).

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

100400332120 is a wasteful number, since it uses less digits than its factorization.

100400332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888488 (or 2888484 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100400332120 its reverse (21233004001), we get a palindrome (121633336121).

The spelling of 100400332120 in words is "one hundred billion, four hundred million, three hundred thirty-two thousand, one hundred twenty".