202221010121120 has 48 divisors (see below), whose sum is σ = 477819777963528. Its totient is φ = 80876104949760.

The previous prime is 202221010121089. The next prime is 202221010121213. The reversal of 202221010121120 is 21121010122202.

It can be written as a sum of positive squares in 4 ways, for example, as 181266478498576 + 20954531622544 = 13463524^2 + 4577612^2 .

It is a super-2 number, since 2×202221010121120² (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 (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95031101 + ... + 97135740.

Almost surely, 2^{202221010121120} is an apocalyptic number.

202221010121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221010121120 is an abundant number, since it is smaller than the sum of its proper divisors (275598767842408).

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

202221010121120 is a wasteful number, since it uses less digits than its factorization.

202221010121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192173433 (or 192173425 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202221010121120 its reverse (21121010122202), we get a palindrome (223342020243322).

The spelling of 202221010121120 in words is "two hundred two trillion, two hundred twenty-one billion, ten million, one hundred twenty-one thousand, one hundred twenty".