101003057 has 2 divisors, whose sum is σ = 101003058. Its totient is φ = 101003056.

The previous prime is 101003039. The next prime is 101003059. The reversal of 101003057 is 750300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 30426256 = 8401^2 + 5516^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003057 - 2⁸ = 101002801 is a prime.

Together with 101003059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101003059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501528 + 50501529.

It is an arithmetic number, because the mean of its divisors is an integer number (50501529).

Almost surely, 2^101003057 is an apocalyptic number.

It is an amenable number.

101003057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003057 is an equidigital number, since it uses as much as digits as its factorization.

101003057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 101003057 is about 10050.0277114046. The cubic root of 101003057 is about 465.7056492406.

Adding to 101003057 its reverse (750300101), we get a palindrome (851303158).

The spelling of 101003057 in words is "one hundred one million, three thousand, fifty-seven".