202122002000 has 40 divisors (see below), whose sum is σ = 488731005672. Its totient is φ = 80848800000.

The previous prime is 202122001867. The next prime is 202122002009. The reversal of 202122002000 is 200221202.

It can be written as a sum of positive squares in 4 ways, for example, as 16881285184 + 185240716816 = 129928^2 + 430396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50528501 + ... + 50532500.

Almost surely, 2^202122002000 is an apocalyptic number.

202122002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122002000 is an abundant number, since it is smaller than the sum of its proper divisors (286609003672).

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

202122002000 is a wasteful number, since it uses less digits than its factorization.

202122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101061024 (or 101061008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202122002000 its reverse (200221202), we get a palindrome (202322223202).

The spelling of 202122002000 in words is "two hundred two billion, one hundred twenty-two million, two thousand".