101139662800 has 240 divisors, whose sum is σ = 274982292864. Its totient is φ = 35424000000.

The previous prime is 101139662797. The next prime is 101139662821. The reversal of 101139662800 is 8266931101.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 101139662800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16439725 + ... + 16445875.

Almost surely, 2^101139662800 is an apocalyptic number.

101139662800 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 101139662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491146432).

101139662800 is an abundant number, since it is smaller than the sum of its proper divisors (173842630064).

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

101139662800 is a wasteful number, since it uses less digits than its factorization.

101139662800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 101139662800 in words is "one hundred one billion, one hundred thirty-nine million, six hundred sixty-two thousand, eight hundred".