102200121300231 has 24 divisors (see below), whose sum is σ = 150736918700160. Its totient is φ = 66709568169216.

The previous prime is 102200121300203. The next prime is 102200121300271. The reversal of 102200121300231 is 132003121002201.

102200121300231 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 1 + 213 + 0 + 0 + 231 = 666.

It is not a de Polignac number, because 102200121300231 - 2¹⁰ = 102200121299207 is a prime.

It is a super-2 number, since 2×102200121300231² (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 (102200121300271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567631671 + ... + 567811688.

It is an arithmetic number, because the mean of its divisors is an integer number (6280704945840).

Almost surely, 2^{102200121300231} is an apocalyptic number.

102200121300231 is a deficient number, since it is larger than the sum of its proper divisors (48536797399929).

102200121300231 is a wasteful number, since it uses less digits than its factorization.

102200121300231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135443575 (or 1135443572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102200121300231 its reverse (132003121002201), we get a palindrome (234203242302432).

The spelling of 102200121300231 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, three hundred thousand, two hundred thirty-one".