202101122000 has 40 divisors (see below), whose sum is σ = 488680517832. Its totient is φ = 80840448000.

The previous prime is 202101121979. The next prime is 202101122009. The reversal of 202101122000 is 221101202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2467307584 + 199633814416 = 49672^2 + 446804^2 .

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 (202101122009) 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, 50523281 + ... + 50527280.

Almost surely, 2^202101122000 is an apocalyptic number.

202101122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101122000 is an abundant number, since it is smaller than the sum of its proper divisors (286579395832).

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

202101122000 is a wasteful number, since it uses less digits than its factorization.

202101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101050584 (or 101050568 counting only the distinct ones).

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

Adding to 202101122000 its reverse (221101202), we get a palindrome (202322223202).

The spelling of 202101122000 in words is "two hundred two billion, one hundred one million, one hundred twenty-two thousand".