101561857253 has 2 divisors, whose sum is σ = 101561857254. Its totient is φ = 101561857252.

The previous prime is 101561857237. The next prime is 101561857259. The reversal of 101561857253 is 352758165101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59691285124 + 41870572129 = 244318^2 + 204623^2 .

It is a cyclic number.

It is not a de Polignac number, because 101561857253 - 2⁴ = 101561857237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101561857259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50780928626 + 50780928627.

It is an arithmetic number, because the mean of its divisors is an integer number (50780928627).

Almost surely, 2^101561857253 is an apocalyptic number.

It is an amenable number.

101561857253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101561857253 is an equidigital number, since it uses as much as digits as its factorization.

101561857253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 101561857253 in words is "one hundred one billion, five hundred sixty-one million, eight hundred fifty-seven thousand, two hundred fifty-three".