202202122121000 has 64 divisors (see below), whose sum is σ = 473193087690960. Its totient is φ = 80873990400000.

The previous prime is 202202122120979. The next prime is 202202122121009. The reversal of 202202122121000 is 121221202202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71469606244 + 202130652514756 = 267338^2 + 14217266^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202202122121000.

It is not an unprimeable number, because it can be changed into a prime (202202122121009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3233840 + ... + 20368160.

Almost surely, 2^{202202122121000} is an apocalyptic number.

202202122121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202122121000 is an abundant number, since it is smaller than the sum of its proper divisors (270990965569960).

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

202202122121000 is a wasteful number, since it uses less digits than its factorization.

202202122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146143 (or 17146129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202202122121000 its reverse (121221202202), we get a palindrome (202323343323202).

The spelling of 202202122121000 in words is "two hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand".