2110100100021 has 12 divisors (see below), whose sum is σ = 3130298647372. Its totient is φ = 1368713578176.

The previous prime is 2110100099999. The next prime is 2110100100029. The reversal of 2110100100021 is 1200010010112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1132149200625 + 977950899396 = 1064025^2 + 988914^2 .

It is not a de Polignac number, because 2110100100021 - 2⁶ = 2110100099957 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 junction number, because it is equal to n+sod(n) for n = 2110100099976 and 2110100100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100100029) 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 11 ways as a sum of consecutive naturals, for example, 3168318136 + ... + 3168318801.

Almost surely, 2^{2110100100021} is an apocalyptic number.

It is an amenable number.

2110100100021 is a deficient number, since it is larger than the sum of its proper divisors (1020198547351).

2110100100021 is a wasteful number, since it uses less digits than its factorization.

2110100100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336636980 (or 6336636977 counting only the distinct ones).

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

Adding to 2110100100021 its reverse (1200010010112), we get a palindrome (3310110110133).

The spelling of 2110100100021 in words is "two trillion, one hundred ten billion, one hundred million, one hundred thousand, twenty-one".