2110101000021 has 48 divisors (see below), whose sum is σ = 3603678748800. Its totient is φ = 1164121870464.

The previous prime is 2110100999999. The next prime is 2110101000037. The reversal of 2110101000021 is 1200001010112.

It is a happy number.

It is not a de Polignac number, because 2110101000021 - 2²⁶ = 2110033891157 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2110100999967 and 2110101000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110101000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45613515 + ... + 45659751.

It is an arithmetic number, because the mean of its divisors is an integer number (75076640600).

Almost surely, 2^{2110101000021} is an apocalyptic number.

2110101000021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2110101000021 is a deficient number, since it is larger than the sum of its proper divisors (1493577748779).

2110101000021 is a wasteful number, since it uses less digits than its factorization.

2110101000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71258 (or 71255 counting only the distinct ones).

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

Adding to 2110101000021 its reverse (1200001010112), we get a palindrome (3310102010133).

The spelling of 2110101000021 in words is "two trillion, one hundred ten billion, one hundred one million, twenty-one", and thus it is an aban number.