101052365221 has 2 divisors, whose sum is σ = 101052365222. Its totient is φ = 101052365220.

The previous prime is 101052365159. The next prime is 101052365233. The reversal of 101052365221 is 122563250101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63509040100 + 37543325121 = 252010^2 + 193761^2 .

It is a cyclic number.

It is not a de Polignac number, because 101052365221 - 2¹⁵ = 101052332453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101052365221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101052365261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526182610 + 50526182611.

It is an arithmetic number, because the mean of its divisors is an integer number (50526182611).

Almost surely, 2^101052365221 is an apocalyptic number.

It is an amenable number.

101052365221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101052365221 is an equidigital number, since it uses as much as digits as its factorization.

101052365221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 101052365221 in words is "one hundred one billion, fifty-two million, three hundred sixty-five thousand, two hundred twenty-one".