101129257 has 2 divisors, whose sum is σ = 101129258. Its totient is φ = 101129256.

The previous prime is 101129221. The next prime is 101129261. The reversal of 101129257 is 752921101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93489561 + 7639696 = 9669^2 + 2764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101129257 is a prime.

It is not a weakly prime, because it can be changed into another prime (101129207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50564628 + 50564629.

It is an arithmetic number, because the mean of its divisors is an integer number (50564629).

Almost surely, 2^101129257 is an apocalyptic number.

It is an amenable number.

101129257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101129257 is an equidigital number, since it uses as much as digits as its factorization.

101129257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 101129257 is about 10056.3043410589. The cubic root of 101129257 is about 465.8995298146.

The spelling of 101129257 in words is "one hundred one million, one hundred twenty-nine thousand, two hundred fifty-seven".