2102101002211 has 16 divisors (see below), whose sum is σ = 2425140527040. Its totient is φ = 1784826207360.

The previous prime is 2102101002149. The next prime is 2102101002251. The reversal of 2102101002211 is 1122001012012.

It is not a de Polignac number, because 2102101002211 - 2⁷ = 2102101002083 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102101002191 and 2102101002200.

It is not an unprimeable number, because it can be changed into a prime (2102101002251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012520 + ... + 3644101.

It is an arithmetic number, because the mean of its divisors is an integer number (151571282940).

Almost surely, 2^{2102101002211} is an apocalyptic number.

2102101002211 is a deficient number, since it is larger than the sum of its proper divisors (323039524829).

2102101002211 is a wasteful number, since it uses less digits than its factorization.

2102101002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657054.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102101002211 its reverse (1122001012012), we get a palindrome (3224102014223).

The spelling of 2102101002211 in words is "two trillion, one hundred two billion, one hundred one million, two thousand, two hundred eleven".