101000010011057 has 2 divisors, whose sum is σ = 101000010011058. Its totient is φ = 101000010011056.

The previous prime is 101000010011027. The next prime is 101000010011119. The reversal of 101000010011057 is 750110010000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73127143176481 + 27872866834576 = 8551441^2 + 5279476^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000010011057 - 2²² = 101000005816753 is a prime.

It is a super-2 number, since 2×101000010011057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101000010011027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005005528 + 50500005005529.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005005529).

Almost surely, 2^{101000010011057} is an apocalyptic number.

It is an amenable number.

101000010011057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000010011057 is an equidigital number, since it uses as much as digits as its factorization.

101000010011057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 101000010011057 its reverse (750110010000101), we get a palindrome (851110020011158).

The spelling of 101000010011057 in words is "one hundred one trillion, ten million, eleven thousand, fifty-seven".