2121110102211 has 16 divisors (see below), whose sum is σ = 3124704397824. Its totient is φ = 1273027716224.

The previous prime is 2121110102201. The next prime is 2121110102233. The reversal of 2121110102211 is 1122010111212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2121110102211 - 2⁶ = 2121110102147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121110102201) 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, 904137831 + ... + 904140176.

It is an arithmetic number, because the mean of its divisors is an integer number (195294024864).

Almost surely, 2^{2121110102211} is an apocalyptic number.

2121110102211 is a deficient number, since it is larger than the sum of its proper divisors (1003594295613).

2121110102211 is a wasteful number, since it uses less digits than its factorization.

2121110102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808278050.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121110102211 its reverse (1122010111212), we get a palindrome (3243120213423).

Subtracting from 2121110102211 its reverse (1122010111212), we obtain a palindrome (999099990999).

The spelling of 2121110102211 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred two thousand, two hundred eleven".