101438312562900 has 54 divisors (see below), whose sum is σ = 317952755269422. Its totient is φ = 27050216683200.

The previous prime is 101438312562877. The next prime is 101438312562907. The reversal of 101438312562900 is 9265213834101.

101438312562900 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 8 + 3 + 12 + 5 + 629 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2171443910724 + 99266868652176 = 1473582^2 + 9963276^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101438312562907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56354617191 + ... + 56354618990.

Almost surely, 2^{101438312562900} is an apocalyptic number.

101438312562900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101438312562900 is an abundant number, since it is smaller than the sum of its proper divisors (216514442706522).

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

101438312562900 is a wasteful number, since it uses less digits than its factorization.

101438312562900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112709236201 (or 112709236191 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 101438312562900 in words is "one hundred one trillion, four hundred thirty-eight billion, three hundred twelve million, five hundred sixty-two thousand, nine hundred".