102201002312123 has 32 divisors (see below), whose sum is σ = 130567129398720. Its totient is φ = 78536619048960.

The previous prime is 102201002312093. The next prime is 102201002312183. The reversal of 102201002312123 is 321213200102201.

It is a cyclic number.

It is not a de Polignac number, because 102201002312123 - 2¹⁶ = 102201002246587 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201002312095 and 102201002312104.

It is not an unprimeable number, because it can be changed into a prime (102201002312183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568027958 + ... + 568207851.

It is an arithmetic number, because the mean of its divisors is an integer number (4080222793710).

Almost surely, 2^{102201002312123} is an apocalyptic number.

102201002312123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102201002312123 is a deficient number, since it is larger than the sum of its proper divisors (28366127086597).

102201002312123 is a wasteful number, since it uses less digits than its factorization.

102201002312123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136235887.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102201002312123 its reverse (321213200102201), we get a palindrome (423414202414324).

The spelling of 102201002312123 in words is "one hundred two trillion, two hundred one billion, two million, three hundred twelve thousand, one hundred twenty-three".