202101312122109 has 6 divisors (see below), whose sum is σ = 291924117509726. Its totient is φ = 134734208081400.

The previous prime is 202101312122063. The next prime is 202101312122113. The reversal of 202101312122109 is 901221213101202.

202101312122109 is a `hidden beast` number, since 2 + 0 + 210 + 1 + 312 + 122 + 10 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167111129559609 + 34990182562500 = 12927147^2 + 5915250^2 .

It is not a de Polignac number, because 202101312122109 - 2⁷ = 202101312121981 is a prime.

It is a super-2 number, since 2×202101312122109² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101312122179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11227850673442 + ... + 11227850673459.

Almost surely, 2^{202101312122109} is an apocalyptic number.

It is an amenable number.

202101312122109 is a deficient number, since it is larger than the sum of its proper divisors (89822805387617).

202101312122109 is a wasteful number, since it uses less digits than its factorization.

202101312122109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455701346907 (or 22455701346904 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 202101312122109 in words is "two hundred two trillion, one hundred one billion, three hundred twelve million, one hundred twenty-two thousand, one hundred nine".