10122112102113 has 64 divisors (see below), whose sum is σ = 16723136102400. Its totient is φ = 5998302391680.

The previous prime is 10122112102103. The next prime is 10122112102241. The reversal of 10122112102113 is 31120121122101.

It is a happy number.

It is not a de Polignac number, because 10122112102113 - 2⁶ = 10122112102049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122112102103) 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, 14154445 + ... + 14852357.

It is an arithmetic number, because the mean of its divisors is an integer number (261299001600).

Almost surely, 2^{10122112102113} is an apocalyptic number.

It is an amenable number.

10122112102113 is a deficient number, since it is larger than the sum of its proper divisors (6601024000287).

10122112102113 is a wasteful number, since it uses less digits than its factorization.

10122112102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699019 (or 699013 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10122112102113 its reverse (31120121122101), we get a palindrome (41242233224214).

The spelling of 10122112102113 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, one hundred thirteen".