101013131221200 has 360 divisors, whose sum is σ = 392746671029856. Its totient is φ = 23826192768000.

The previous prime is 101013131221193. The next prime is 101013131221259. The reversal of 101013131221200 is 2122131310101.

101013131221200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 131 + 312 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×101013131221200² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33005566 + ... + 35935965.

Almost surely, 2^{101013131221200} is an apocalyptic number.

101013131221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013131221200 is an abundant number, since it is smaller than the sum of its proper divisors (291733539808656).

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

101013131221200 is a wasteful number, since it uses less digits than its factorization.

101013131221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68941603 (or 68941589 counting only the distinct ones).

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

Adding to 101013131221200 its reverse (2122131310101), we get a palindrome (103135262531301).

The spelling of 101013131221200 in words is "one hundred one trillion, thirteen billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred".