2102012122113 has 16 divisors (see below), whose sum is σ = 3297273917760. Its totient is φ = 1318909566528.

The previous prime is 2102012122087. The next prime is 2102012122121. The reversal of 2102012122113 is 3112212102012.

2102012122113 is a `hidden beast` number, since 210 + 201 + 21 + 221 + 13 = 666.

It is not a de Polignac number, because 2102012122113 - 2²⁶ = 2101945013249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102012122213) 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, 2289773095 + ... + 2289774012.

It is an arithmetic number, because the mean of its divisors is an integer number (206079619860).

Almost surely, 2^{2102012122113} is an apocalyptic number.

It is an amenable number.

2102012122113 is a deficient number, since it is larger than the sum of its proper divisors (1195261795647).

2102012122113 is a wasteful number, since it uses less digits than its factorization.

2102012122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579547133 (or 4579547127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2102012122113 its reverse (3112212102012), we get a palindrome (5214224224125).

The spelling of 2102012122113 in words is "two trillion, one hundred two billion, twelve million, one hundred twenty-two thousand, one hundred thirteen".