202122101000 has 64 divisors (see below), whose sum is σ = 477841880880. Its totient is φ = 80015308800.

The previous prime is 202122100987. The next prime is 202122101029. The reversal of 202122101000 is 101221202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3289940164 + 198832160836 = 57358^2 + 445906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944867 + ... + 1138866.

Almost surely, 2^202122101000 is an apocalyptic number.

202122101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122101000 is an abundant number, since it is smaller than the sum of its proper divisors (275719779880).

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

202122101000 is a wasteful number, since it uses less digits than its factorization.

202122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083851 (or 2083837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202122101000 its reverse (101221202), we get a palindrome (202223322202).

It can be divided in two parts, 20212 and 2101000, that added together give a palindrome (2121212).

The spelling of 202122101000 in words is "two hundred two billion, one hundred twenty-two million, one hundred one thousand".