202200220021000 has 128 divisors (see below), whose sum is σ = 474047730655200. Its totient is φ = 80726406835200.

The previous prime is 202200220020979. The next prime is 202200220021013. The reversal of 202200220021000 is 120022002202.

It can be written as a sum of positive squares in 16 ways, for example, as 39131355316036 + 163068864704964 = 6255506^2 + 12769842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10603599466 + ... + 10603618534.

Almost surely, 2^{202200220021000} is an apocalyptic number.

202200220021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202200220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237023865327600).

202200220021000 is an abundant number, since it is smaller than the sum of its proper divisors (271847510634200).

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

202200220021000 is a wasteful number, since it uses less digits than its factorization.

202200220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38684 (or 38670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202200220021000 its reverse (120022002202), we get a palindrome (202320242023202).

The spelling of 202200220021000 in words is "two hundred two trillion, two hundred billion, two hundred twenty million, twenty-one thousand".