101310221113200 has 480 divisors, whose sum is σ = 393864123582720. Its totient is φ = 24529215052800.

The previous prime is 101310221113147. The next prime is 101310221113223. The reversal of 101310221113200 is 2311122013101.

101310221113200 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 2 + 21 + 11 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94148607 + ... + 95218593.

It is an arithmetic number, because the mean of its divisors is an integer number (820550257464).

Almost surely, 2^{101310221113200} is an apocalyptic number.

101310221113200 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 101310221113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196932061791360).

101310221113200 is an abundant number, since it is smaller than the sum of its proper divisors (292553902469520).

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

101310221113200 is a wasteful number, since it uses less digits than its factorization.

101310221113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070822 (or 1070805 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101310221113200 its reverse (2311122013101), we get a palindrome (103621343126301).

The spelling of 101310221113200 in words is "one hundred one trillion, three hundred ten billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred".