202100221022121 has 24 divisors (see below), whose sum is σ = 299815460670024. Its totient is φ = 131090670708480.

The previous prime is 202100221022027. The next prime is 202100221022173. The reversal of 202100221022121 is 121220122001202.

It is a happy number.

202100221022121 is a `hidden beast` number, since 2 + 0 + 210 + 0 + 2 + 210 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8276438534400 + 193823782487721 = 2876880^2 + 13922061^2 .

It is not a de Polignac number, because 202100221022121 - 2²⁷ = 202100086804393 is a prime.

It is a super-3 number, since 3×202100221022121³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202100221022094 and 202100221022103.

It is not an unprimeable number, because it can be changed into a prime (202100221022521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29383251 + ... + 35603031.

It is an arithmetic number, because the mean of its divisors is an integer number (12492310861251).

Almost surely, 2^{202100221022121} is an apocalyptic number.

It is an amenable number.

202100221022121 is a deficient number, since it is larger than the sum of its proper divisors (97715239647903).

202100221022121 is a wasteful number, since it uses less digits than its factorization.

202100221022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317401 (or 6317398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202100221022121 its reverse (121220122001202), we get a palindrome (323320343023323).

The spelling of 202100221022121 in words is "two hundred two trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-one".