2100110002221 has 64 divisors (see below), whose sum is σ = 3512770560000. Its totient is φ = 1084210142400.

The previous prime is 2100110002147. The next prime is 2100110002231. The reversal of 2100110002221 is 1222000110012.

It is not a de Polignac number, because 2100110002221 - 2¹⁹ = 2100109477933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100110002197 and 2100110002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100110002231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27511176 + ... + 27587406.

It is an arithmetic number, because the mean of its divisors is an integer number (54887040000).

Almost surely, 2^{2100110002221} is an apocalyptic number.

2100110002221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100110002221 is a deficient number, since it is larger than the sum of its proper divisors (1412660557779).

2100110002221 is a wasteful number, since it uses less digits than its factorization.

2100110002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76990.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100110002221 its reverse (1222000110012), we get a palindrome (3322110112233).

The spelling of 2100110002221 in words is "two trillion, one hundred billion, one hundred ten million, two thousand, two hundred twenty-one".