101429257 has 2 divisors, whose sum is σ = 101429258. Its totient is φ = 101429256.

The previous prime is 101429233. The next prime is 101429281. The reversal of 101429257 is 752924101.

It is a balanced prime because it is at equal distance from previous prime (101429233) and next prime (101429281).

It can be written as a sum of positive squares in only one way, i.e., 101284096 + 145161 = 10064^2 + 381^2 .

It is a cyclic number.

It is not a de Polignac number, because 101429257 - 2⁷ = 101429129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101429297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50714628 + 50714629.

It is an arithmetic number, because the mean of its divisors is an integer number (50714629).

Almost surely, 2^101429257 is an apocalyptic number.

It is an amenable number.

101429257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101429257 is an equidigital number, since it uses as much as digits as its factorization.

101429257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 101429257 is about 10071.2093116964. The cubic root of 101429257 is about 466.3597720870.

The spelling of 101429257 in words is "one hundred one million, four hundred twenty-nine thousand, two hundred fifty-seven".