101261092901 has 2 divisors, whose sum is σ = 101261092902. Its totient is φ = 101261092900.

The previous prime is 101261092847. The next prime is 101261092913. The reversal of 101261092901 is 109290162101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90224539876 + 11036553025 = 300374^2 + 105055^2 .

It is a cyclic number.

It is not a de Polignac number, because 101261092901 - 2¹⁸ = 101260830757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101261092931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50630546450 + 50630546451.

It is an arithmetic number, because the mean of its divisors is an integer number (50630546451).

Almost surely, 2^101261092901 is an apocalyptic number.

It is an amenable number.

101261092901 is a deficient number, since it is larger than the sum of its proper divisors (1).

101261092901 is an equidigital number, since it uses as much as digits as its factorization.

101261092901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 101261092901 in words is "one hundred one billion, two hundred sixty-one million, ninety-two thousand, nine hundred one".