202101122001 has 32 divisors (see below), whose sum is σ = 276554746368. Its totient is φ = 131229446400.

The previous prime is 202101121979. The next prime is 202101122009. The reversal of 202101122001 is 100221101202.

202101122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202101122001 - 2¹⁴ = 202101105617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202101122009) by changing a digit.

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, 33122851 + ... + 33128951.

It is an arithmetic number, because the mean of its divisors is an integer number (8642335824).

Almost surely, 2^202101122001 is an apocalyptic number.

It is an amenable number.

202101122001 is a deficient number, since it is larger than the sum of its proper divisors (74453624367).

202101122001 is a wasteful number, since it uses less digits than its factorization.

202101122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202101122001 its reverse (100221101202), we get a palindrome (302322223203).

The spelling of 202101122001 in words is "two hundred two billion, one hundred one million, one hundred twenty-two thousand, one".