101010052510400 has 252 divisors, whose sum is σ = 280580964002304. Its totient is φ = 35738197862400.

The previous prime is 101010052510387. The next prime is 101010052510481. The reversal of 101010052510400 is 4015250010101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 112577 + ... + 14213823.

Almost surely, 2^{101010052510400} is an apocalyptic number.

101010052510400 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 101010052510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140290482001152).

101010052510400 is an abundant number, since it is smaller than the sum of its proper divisors (179570911491904).

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

101010052510400 is a wasteful number, since it uses less digits than its factorization.

101010052510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14101328 (or 14101302 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 101010052510400 in words is "one hundred one trillion, ten billion, fifty-two million, five hundred ten thousand, four hundred".