102120112310013 has 48 divisors (see below), whose sum is σ = 172605063286656. Its totient is φ = 56962451387520.

The previous prime is 102120112310003. The next prime is 102120112310053. The reversal of 102120112310013 is 310013211021201.

It is not a de Polignac number, because 102120112310013 - 2⁴ = 102120112309997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120112310003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7079298 + ... + 15948563.

It is an arithmetic number, because the mean of its divisors is an integer number (3595938818472).

Almost surely, 2^{102120112310013} is an apocalyptic number.

It is an amenable number.

102120112310013 is a deficient number, since it is larger than the sum of its proper divisors (70484950976643).

102120112310013 is a wasteful number, since it uses less digits than its factorization.

102120112310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23029554 (or 23029551 counting only the distinct ones).

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

Adding to 102120112310013 its reverse (310013211021201), we get a palindrome (412133323331214).

The spelling of 102120112310013 in words is "one hundred two trillion, one hundred twenty billion, one hundred twelve million, three hundred ten thousand, thirteen".