101014696138800 has 240 divisors, whose sum is σ = 324016265346048. Its totient is φ = 26901261004800.

The previous prime is 101014696138771. The next prime is 101014696138823. The reversal of 101014696138800 is 8831696410101.

It is a happy number.

101014696138800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101014696138800.

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, 6147055384 + ... + 6147071816.

Almost surely, 2^{101014696138800} is an apocalyptic number.

101014696138800 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 101014696138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162008132673024).

101014696138800 is an abundant number, since it is smaller than the sum of its proper divisors (223001569207248).

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

101014696138800 is a wasteful number, since it uses less digits than its factorization.

101014696138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22988 (or 22977 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 101014696138800 in words is "one hundred one trillion, fourteen billion, six hundred ninety-six million, one hundred thirty-eight thousand, eight hundred".