100031434421200 has 120 divisors (see below), whose sum is σ = 253847213540096. Its totient is φ = 37821337344000.

The previous prime is 100031434421167. The next prime is 100031434421207. The reversal of 100031434421200 is 2124434130001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031434421207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93269721 + ... + 94336120.

Almost surely, 2^{100031434421200} is an apocalyptic number.

100031434421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031434421200 is an abundant number, since it is smaller than the sum of its proper divisors (153815779118896).

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

100031434421200 is a wasteful number, since it uses less digits than its factorization.

100031434421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187605933 (or 187605922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100031434421200 its reverse (2124434130001), we get a palindrome (102155868551201).

The spelling of 100031434421200 in words is "one hundred trillion, thirty-one billion, four hundred thirty-four million, four hundred twenty-one thousand, two hundred".