101300965274400 has 288 divisors, whose sum is σ = 341896329734400. Its totient is φ = 26021564620800.

The previous prime is 101300965274393. The next prime is 101300965274413. The reversal of 101300965274400 is 4472569003101.

101300965274400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 28309116 + ... + 31686084.

It is an arithmetic number, because the mean of its divisors is an integer number (1187140033800).

Almost surely, 2^{101300965274400} is an apocalyptic number.

101300965274400 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 101300965274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170948164867200).

101300965274400 is an abundant number, since it is smaller than the sum of its proper divisors (240595364460000).

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

101300965274400 is a wasteful number, since it uses less digits than its factorization.

101300965274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377452 (or 3377439 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 101300965274400 in words is "one hundred one trillion, three hundred billion, nine hundred sixty-five million, two hundred seventy-four thousand, four hundred".