101052561161 has 2 divisors, whose sum is σ = 101052561162. Its totient is φ = 101052561160.

The previous prime is 101052561149. The next prime is 101052561167. The reversal of 101052561161 is 161165250101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83048288761 + 18004272400 = 288181^2 + 134180^2 .

It is a cyclic number.

It is not a de Polignac number, because 101052561161 - 2¹⁴ = 101052544777 is a prime.

It is not a weakly prime, because it can be changed into another prime (101052561167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526280580 + 50526280581.

It is an arithmetic number, because the mean of its divisors is an integer number (50526280581).

Almost surely, 2^101052561161 is an apocalyptic number.

It is an amenable number.

101052561161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101052561161 is an equidigital number, since it uses as much as digits as its factorization.

101052561161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 29.

The spelling of 101052561161 in words is "one hundred one billion, fifty-two million, five hundred sixty-one thousand, one hundred sixty-one".