221200202002122 has 72 divisors (see below), whose sum is σ = 563034743532612. Its totient is φ = 62574314544000.

The previous prime is 221200202002079. The next prime is 221200202002211.

221200202002122 is a `hidden beast` number, since 221 + 200 + 2 + 0 + 200 + 21 + 22 = 666.

221200202002122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 186167168087481 + 35033033914641 = 13644309^2 + 5918871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221200202002095 and 221200202002104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241464779 + ... + 1241642942.

Almost surely, 2^{221200202002122} is an apocalyptic number.

221200202002122 is an abundant number, since it is smaller than the sum of its proper divisors (341834541530490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221200202002122 is a wasteful number, since it uses less digits than its factorization.

221200202002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483107844 (or 2483107834 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 22120020 and 2002122, that added together give a palindrome (24122142).

The spelling of 221200202002122 in words is "two hundred twenty-one trillion, two hundred billion, two hundred two million, two thousand, one hundred twenty-two".