10102121113113 has 16 divisors (see below), whose sum is σ = 15043649947840. Its totient is φ = 6699852340992.

The previous prime is 10102121112991. The next prime is 10102121113151. The reversal of 10102121113113 is 31131112120101.

It is not a de Polignac number, because 10102121113113 - 2²⁹ = 10101584242201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102121113193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969302131 + ... + 969312552.

It is an arithmetic number, because the mean of its divisors is an integer number (940228121740).

Almost surely, 2^{10102121113113} is an apocalyptic number.

It is an amenable number.

10102121113113 is a deficient number, since it is larger than the sum of its proper divisors (4941528834727).

10102121113113 is a wasteful number, since it uses less digits than its factorization.

10102121113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938614885 (or 1938614879 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10102121113113 its reverse (31131112120101), we get a palindrome (41233233233214).

The spelling of 10102121113113 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred thirteen".