202131312101 has 2 divisors, whose sum is σ = 202131312102. Its totient is φ = 202131312100.

The previous prime is 202131312067. The next prime is 202131312121. The reversal of 202131312101 is 101213131202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128790547876 + 73340764225 = 358874^2 + 270815^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131312101 - 2¹⁸ = 202131049957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202131312101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131312121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065656050 + 101065656051.

It is an arithmetic number, because the mean of its divisors is an integer number (101065656051).

Almost surely, 2^202131312101 is an apocalyptic number.

It is an amenable number.

202131312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131312101 is an equidigital number, since it uses as much as digits as its factorization.

202131312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 202131312101 its reverse (101213131202), we get a palindrome (303344443303).

The spelling of 202131312101 in words is "two hundred two billion, one hundred thirty-one million, three hundred twelve thousand, one hundred one".