2002112102131 has 24 divisors (see below), whose sum is σ = 2099078768912. Its totient is φ = 1909006444800.

The previous prime is 2002112102119. The next prime is 2002112102143. The reversal of 2002112102131 is 1312012112002.

It is an interprime number because it is at equal distance from previous prime (2002112102119) and next prime (2002112102143).

It is a de Polignac number, because none of the positive numbers 2^k-2002112102131 is a prime.

It is a super-2 number, since 2×2002112102131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002112108131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16036756 + ... + 16161118.

Almost surely, 2^{2002112102131} is an apocalyptic number.

2002112102131 is a deficient number, since it is larger than the sum of its proper divisors (96966666781).

2002112102131 is a wasteful number, since it uses less digits than its factorization.

2002112102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124663 (or 124622 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2002112102131 its reverse (1312012112002), we get a palindrome (3314124214133).

The spelling of 2002112102131 in words is "two trillion, two billion, one hundred twelve million, one hundred two thousand, one hundred thirty-one".