102100022222013 has 64 divisors (see below), whose sum is σ = 154268532633600. Its totient is φ = 66729217435200.

The previous prime is 102100022221991. The next prime is 102100022222063. The reversal of 102100022222013 is 310222220001201.

102100022222013 is a `hidden beast` number, since 1 + 0 + 210 + 0 + 0 + 222 + 220 + 13 = 666.

It is not a de Polignac number, because 102100022222013 - 2¹⁸ = 102100021959869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100022222063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114285903 + ... + 115175811.

It is an arithmetic number, because the mean of its divisors is an integer number (2410445822400).

Almost surely, 2^{102100022222013} is an apocalyptic number.

It is an amenable number.

102100022222013 is a deficient number, since it is larger than the sum of its proper divisors (52168510411587).

102100022222013 is a wasteful number, since it uses less digits than its factorization.

102100022222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890439 (or 890433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102100022222013 its reverse (310222220001201), we get a palindrome (412322242223214).

The spelling of 102100022222013 in words is "one hundred two trillion, one hundred billion, twenty-two million, two hundred twenty-two thousand, thirteen".