101961157 has 2 divisors, whose sum is σ = 101961158. Its totient is φ = 101961156.

The previous prime is 101961133. The next prime is 101961161. The reversal of 101961157 is 751169101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53714241 + 48246916 = 7329^2 + 6946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101961157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101961857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50980578 + 50980579.

It is an arithmetic number, because the mean of its divisors is an integer number (50980579).

Almost surely, 2^101961157 is an apocalyptic number.

It is an amenable number.

101961157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101961157 is an equidigital number, since it uses as much as digits as its factorization.

101961157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 31.

The square root of 101961157 is about 10097.5817401990. The cubic root of 101961157 is about 467.1735557416.

The spelling of 101961157 in words is "one hundred one million, nine hundred sixty-one thousand, one hundred fifty-seven".