202100123213001 has 24 divisors (see below), whose sum is σ = 316380376919880. Its totient is φ = 123577145392896.

The previous prime is 202100123212993. The next prime is 202100123213081. The reversal of 202100123213001 is 100312321001202.

202100123213001 is a `hidden beast` number, since 20 + 2 + 10 + 0 + 12 + 321 + 300 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45952353225 + 202054170859776 = 214365^2 + 14214576^2 .

It is not a de Polignac number, because 202100123213001 - 2³ = 202100123212993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202100123213081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501100996 + ... + 5501137733.

It is an arithmetic number, because the mean of its divisors is an integer number (13182515704995).

Almost surely, 2^{202100123213001} is an apocalyptic number.

It is an amenable number.

202100123213001 is a deficient number, since it is larger than the sum of its proper divisors (114280253706879).

202100123213001 is a wasteful number, since it uses less digits than its factorization.

202100123213001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002238905 (or 11002238902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202100123213001 its reverse (100312321001202), we get a palindrome (302412444214203).

The spelling of 202100123213001 in words is "two hundred two trillion, one hundred billion, one hundred twenty-three million, two hundred thirteen thousand, one".