2101121023113 has 24 divisors (see below), whose sum is σ = 3512422534400. Its totient is φ = 1185442599744.

The previous prime is 2101121023109. The next prime is 2101121023159. The reversal of 2101121023113 is 3113201211012.

2101121023113 is a `hidden beast` number, since 210 + 1 + 1 + 210 + 231 + 13 = 666.

It is not a de Polignac number, because 2101121023113 - 2² = 2101121023109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101121023013) 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, 211078108 + ... + 211088061.

Almost surely, 2^{2101121023113} is an apocalyptic number.

It is an amenable number.

2101121023113 is a deficient number, since it is larger than the sum of its proper divisors (1411301511287).

2101121023113 is a wasteful number, since it uses less digits than its factorization.

2101121023113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422166261 (or 422166258 counting only the distinct ones).

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

Adding to 2101121023113 its reverse (3113201211012), we get a palindrome (5214322234125).

The spelling of 2101121023113 in words is "two trillion, one hundred one billion, one hundred twenty-one million, twenty-three thousand, one hundred thirteen".