221002221101121 has 24 divisors (see below), whose sum is σ = 330053501567400. Its totient is φ = 142390692758016.

The previous prime is 221002221101089. The next prime is 221002221101171. The reversal of 221002221101121 is 121101122200122.

221002221101121 is a `hidden beast` number, since 2 + 210 + 0 + 222 + 110 + 1 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11601380966400 + 209400840134721 = 3406080^2 + 14470689^2 .

It is not a de Polignac number, because 221002221101121 - 2⁵ = 221002221101089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221002221101094 and 221002221101103.

It is not an unprimeable number, because it can be changed into a prime (221002221101171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227032040 + ... + 2227131273.

It is an arithmetic number, because the mean of its divisors is an integer number (13752229231975).

Almost surely, 2^{221002221101121} is an apocalyptic number.

It is an amenable number.

221002221101121 is a deficient number, since it is larger than the sum of its proper divisors (109051280466279).

221002221101121 is a wasteful number, since it uses less digits than its factorization.

221002221101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454163505 (or 4454163502 counting only the distinct ones).

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

Adding to 221002221101121 its reverse (121101122200122), we get a palindrome (342103343301243).

The spelling of 221002221101121 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".