100131770401600 has 252 divisors, whose sum is σ = 289567940343276. Its totient is φ = 33976963399680.

The previous prime is 100131770401577. The next prime is 100131770401759. The reversal of 100131770401600 is 6104077131001.

It can be written as a sum of positive squares in 6 ways, for example, as 14110300551424 + 86021469850176 = 3756368^2 + 9274776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1021342 + ... + 14188258.

Almost surely, 2^{100131770401600} is an apocalyptic number.

100131770401600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131770401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144783970171638).

100131770401600 is an abundant number, since it is smaller than the sum of its proper divisors (189436169941676).

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

100131770401600 is a wasteful number, since it uses less digits than its factorization.

100131770401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167050 (or 13167028 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 100131770401600 in words is "one hundred trillion, one hundred thirty-one billion, seven hundred seventy million, four hundred one thousand, six hundred".