202100001121001 has 32 divisors (see below), whose sum is σ = 209578670300160. Its totient is φ = 194683953024000.

The previous prime is 202100001120949. The next prime is 202100001121061. The reversal of 202100001121001 is 100121100001202.

It is a cyclic number.

It is not a de Polignac number, because 202100001121001 - 2⁶ = 202100001120937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202100001121061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10403037650 + ... + 10403057076.

It is an arithmetic number, because the mean of its divisors is an integer number (6549333446880).

Almost surely, 2^{202100001121001} is an apocalyptic number.

It is an amenable number.

202100001121001 is a deficient number, since it is larger than the sum of its proper divisors (7478669179159).

202100001121001 is a wasteful number, since it uses less digits than its factorization.

202100001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21665.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202100001121001 its reverse (100121100001202), we get a palindrome (302221101122203).

The spelling of 202100001121001 in words is "two hundred two trillion, one hundred billion, one million, one hundred twenty-one thousand, one".