202122201000 has 128 divisors (see below), whose sum is σ = 650964188160. Its totient is φ = 52160544000.

The previous prime is 202122200981. The next prime is 202122201013. The reversal of 202122201000 is 102221202.

202122201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993679 + ... + 1179678.

It is an arithmetic number, because the mean of its divisors is an integer number (5085657720).

Almost surely, 2^202122201000 is an apocalyptic number.

202122201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122201000 is an abundant number, since it is smaller than the sum of its proper divisors (448841987160).

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

202122201000 is a wasteful number, since it uses less digits than its factorization.

202122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173412 (or 2173398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202122201000 its reverse (102221202), we get a palindrome (202224422202).

The spelling of 202122201000 in words is "two hundred two billion, one hundred twenty-two million, two hundred one thousand".