102101230202013 has 128 divisors (see below), whose sum is σ = 178225103831040. Its totient is φ = 56566462518720.

The previous prime is 102101230202011. The next prime is 102101230202029. The reversal of 102101230202013 is 310202032101201.

102101230202013 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 230 + 20 + 201 + 3 = 666.

It is not a de Polignac number, because 102101230202013 - 2¹ = 102101230202011 is a prime.

It is a super-2 number, since 2×102101230202013² (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 (102101230202011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 527659120 + ... + 527852582.

It is an arithmetic number, because the mean of its divisors is an integer number (1392383623680).

Almost surely, 2^{102101230202013} is an apocalyptic number.

It is an amenable number.

102101230202013 is a deficient number, since it is larger than the sum of its proper divisors (76123873629027).

102101230202013 is a wasteful number, since it uses less digits than its factorization.

102101230202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194204 (or 194198 counting only the distinct ones).

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

Adding to 102101230202013 its reverse (310202032101201), we get a palindrome (412303262303214).

The spelling of 102101230202013 in words is "one hundred two trillion, one hundred one billion, two hundred thirty million, two hundred two thousand, thirteen".