22101122211001 has 2 divisors, whose sum is σ = 22101122211002. Its totient is φ = 22101122211000.

The previous prime is 22101122210969. The next prime is 22101122211037. The reversal of 22101122211001 is 10011222110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11419337321001 + 10681784890000 = 3379251^2 + 3268300^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101122211001 - 2⁵ = 22101122210969 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101122211041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050561105500 + 11050561105501.

It is an arithmetic number, because the mean of its divisors is an integer number (11050561105501).

Almost surely, 2^{22101122211001} is an apocalyptic number.

It is an amenable number.

22101122211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101122211001 is an equidigital number, since it uses as much as digits as its factorization.

22101122211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22101122211001 its reverse (10011222110122), we get a palindrome (32112344321123).

The spelling of 22101122211001 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, one".