2110120000101 has 12 divisors (see below), whose sum is σ = 3130328168812. Its totient is φ = 1368726486336.

The previous prime is 2110120000091. The next prime is 2110120000141. The reversal of 2110120000101 is 1010000210112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1350241676001 + 759878324100 = 1161999^2 + 871710^2 .

It is not a de Polignac number, because 2110120000101 - 2²⁶ = 2110052891237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110120000141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3168348016 + ... + 3168348681.

Almost surely, 2^{2110120000101} is an apocalyptic number.

It is an amenable number.

2110120000101 is a deficient number, since it is larger than the sum of its proper divisors (1020208168711).

2110120000101 is a wasteful number, since it uses less digits than its factorization.

2110120000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336696740 (or 6336696737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110120000101 its reverse (1010000210112), we get a palindrome (3120120210213).

The spelling of 2110120000101 in words is "two trillion, one hundred ten billion, one hundred twenty million, one hundred one", and thus it is an aban number.