101009057 has 2 divisors, whose sum is σ = 101009058. Its totient is φ = 101009056.

The previous prime is 101009047. The next prime is 101009137. The reversal of 101009057 is 750900101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85359121 + 15649936 = 9239^2 + 3956^2 .

It is a cyclic number.

It is not a de Polignac number, because 101009057 - 2²⁴ = 84231841 is a prime.

It is not a weakly prime, because it can be changed into another prime (101009047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50504528 + 50504529.

It is an arithmetic number, because the mean of its divisors is an integer number (50504529).

Almost surely, 2^101009057 is an apocalyptic number.

It is an amenable number.

101009057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101009057 is an equidigital number, since it uses as much as digits as its factorization.

101009057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 101009057 is about 10050.3262136112. The cubic root of 101009057 is about 465.7148706729.

Adding to 101009057 its reverse (750900101), we get a palindrome (851909158).

The spelling of 101009057 in words is "one hundred one million, nine thousand, fifty-seven".