101331010301089 has 2 divisors, whose sum is σ = 101331010301090. Its totient is φ = 101331010301088.

The previous prime is 101331010301069. The next prime is 101331010301099. The reversal of 101331010301089 is 980103010133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73472755140625 + 27858255160464 = 8571625^2 + 5278092^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331010301089 - 2⁵ = 101331010301057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101331010301089.

It is not a weakly prime, because it can be changed into another prime (101331010301069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665505150544 + 50665505150545.

It is an arithmetic number, because the mean of its divisors is an integer number (50665505150545).

Almost surely, 2^{101331010301089} is an apocalyptic number.

It is an amenable number.

101331010301089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331010301089 is an equidigital number, since it uses as much as digits as its factorization.

101331010301089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 101331010301089 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, three hundred one thousand, eighty-nine".