101132289257 has 2 divisors, whose sum is σ = 101132289258. Its totient is φ = 101132289256.

The previous prime is 101132289131. The next prime is 101132289263. The reversal of 101132289257 is 752982231101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99318892201 + 1813397056 = 315149^2 + 42584^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132289257 - 2²⁰ = 101131240681 is a prime.

It is a super-2 number, since 2×101132289257² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101132280257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566144628 + 50566144629.

It is an arithmetic number, because the mean of its divisors is an integer number (50566144629).

Almost surely, 2^101132289257 is an apocalyptic number.

It is an amenable number.

101132289257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132289257 is an equidigital number, since it uses as much as digits as its factorization.

101132289257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 101132289257 in words is "one hundred one billion, one hundred thirty-two million, two hundred eighty-nine thousand, two hundred fifty-seven".