101121200013231 has 48 divisors (see below), whose sum is σ = 159470415443040. Its totient is φ = 61524665337600.

The previous prime is 101121200013221. The next prime is 101121200013257. The reversal of 101121200013231 is 132310002121101.

101121200013231 is a `hidden beast` number, since 101 + 121 + 200 + 0 + 13 + 231 = 666.

It is not a de Polignac number, because 101121200013231 - 2²⁹ = 101120663142319 is a prime.

It is a super-2 number, since 2×101121200013231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121200013221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78482200 + ... + 79760253.

It is an arithmetic number, because the mean of its divisors is an integer number (3322300321730).

Almost surely, 2^{101121200013231} is an apocalyptic number.

101121200013231 is a deficient number, since it is larger than the sum of its proper divisors (58349215429809).

101121200013231 is a wasteful number, since it uses less digits than its factorization.

101121200013231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158242616 (or 158242613 counting only the distinct ones).

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

Adding to 101121200013231 its reverse (132310002121101), we get a palindrome (233431202134332).

The spelling of 101121200013231 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred million, thirteen thousand, two hundred thirty-one".