10001001110057 has 2 divisors, whose sum is σ = 10001001110058. Its totient is φ = 10001001110056.

The previous prime is 10001001110033. The next prime is 10001001110179. The reversal of 10001001110057 is 75001110010001.

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., 9297992646121 + 703008463936 = 3049261^2 + 838456^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001110057 - 2¹² = 10001001105961 is a prime.

It is a super-2 number, since 2×10001001110057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001001140057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500555028 + 5000500555029.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500555029).

Almost surely, 2^{10001001110057} is an apocalyptic number.

It is an amenable number.

10001001110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001110057 is an equidigital number, since it uses as much as digits as its factorization.

10001001110057 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 10001001110057 its reverse (75001110010001), we get a palindrome (85002111120058).

The spelling of 10001001110057 in words is "ten trillion, one billion, one million, one hundred ten thousand, fifty-seven".