2112011002101 has 72 divisors (see below), whose sum is σ = 3877615029792. Its totient is φ = 1012752417600.

The previous prime is 2112011002069. The next prime is 2112011002109. The reversal of 2112011002101 is 1012001102112.

It is not a de Polignac number, because 2112011002101 - 2⁵ = 2112011002069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112011002109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4335655 + ... + 4798116.

Almost surely, 2^{2112011002101} is an apocalyptic number.

2112011002101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112011002101 is a deficient number, since it is larger than the sum of its proper divisors (1765604027691).

2112011002101 is a wasteful number, since it uses less digits than its factorization.

2112011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133823 (or 9133805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112011002101 its reverse (1012001102112), we get a palindrome (3124012104213).

The spelling of 2112011002101 in words is "two trillion, one hundred twelve billion, eleven million, two thousand, one hundred one".