101130001057 has 2 divisors, whose sum is σ = 101130001058. Its totient is φ = 101130001056.

The previous prime is 101130000931. The next prime is 101130001061. The reversal of 101130001057 is 750100031101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83708376976 + 17421624081 = 289324^2 + 131991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101130001057 is a prime.

It is a super-2 number, since 2×101130001057² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101130001657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565000528 + 50565000529.

It is an arithmetic number, because the mean of its divisors is an integer number (50565000529).

Almost surely, 2^101130001057 is an apocalyptic number.

It is an amenable number.

101130001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101130001057 is an equidigital number, since it uses as much as digits as its factorization.

101130001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 19.

Adding to 101130001057 its reverse (750100031101), we get a palindrome (851230032158).

The spelling of 101130001057 in words is "one hundred one billion, one hundred thirty million, one thousand, fifty-seven".