221009202900122 has 96 divisors (see below), whose sum is σ = 443509580502912. Its totient is φ = 80375439062016.

The previous prime is 221009202900113. The next prime is 221009202900133.

It is a happy number.

221009202900122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221009202900122² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46597073 + ... + 51120500.

It is an arithmetic number, because the mean of its divisors is an integer number (4619891463572).

Almost surely, 2^{221009202900122} is an apocalyptic number.

221009202900122 is an abundant number, since it is smaller than the sum of its proper divisors (222500377602790).

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

221009202900122 is a wasteful number, since it uses less digits than its factorization.

221009202900122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97717672 (or 97717655 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 221009202900122 in words is "two hundred twenty-one trillion, nine billion, two hundred two million, nine hundred thousand, one hundred twenty-two".