101331309917921 has 2 divisors, whose sum is σ = 101331309917922. Its totient is φ = 101331309917920.

The previous prime is 101331309917909. The next prime is 101331309917939. The reversal of 101331309917921 is 129719903133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83752953968896 + 17578355949025 = 9151664^2 + 4192655^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331309917921 - 2¹⁸ = 101331309655777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101331309917921.

It is not a weakly prime, because it can be changed into another prime (101331309917221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665654958960 + 50665654958961.

It is an arithmetic number, because the mean of its divisors is an integer number (50665654958961).

Almost surely, 2^{101331309917921} is an apocalyptic number.

It is an amenable number.

101331309917921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331309917921 is an equidigital number, since it uses as much as digits as its factorization.

101331309917921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 275562, while the sum is 50.

The spelling of 101331309917921 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred nine million, nine hundred seventeen thousand, nine hundred twenty-one".