221022120121101 has 96 divisors (see below), whose sum is σ = 357982758456960. Its totient is φ = 130468958710272.

The previous prime is 221022120121097. The next prime is 221022120121141. The reversal of 221022120121101 is 101121021220122.

221022120121101 is a `hidden beast` number, since 2 + 210 + 221 + 20 + 1 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 221022120121101 - 2² = 221022120121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022120121141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4510354866 + ... + 4510403868.

It is an arithmetic number, because the mean of its divisors is an integer number (3728987067260).

Almost surely, 2^{221022120121101} is an apocalyptic number.

It is an amenable number.

221022120121101 is a deficient number, since it is larger than the sum of its proper divisors (136960638335859).

221022120121101 is a wasteful number, since it uses less digits than its factorization.

221022120121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57675 (or 57672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221022120121101 its reverse (101121021220122), we get a palindrome (322143141341223).

The spelling of 221022120121101 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred one".