100000001111057 has 2 divisors, whose sum is σ = 100000001111058. Its totient is φ = 100000001111056.

The previous prime is 100000001110963. The next prime is 100000001111081. The reversal of 100000001111057 is 750111100000001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62700045008896 + 37299956102161 = 7918336^2 + 6107369^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000001111057 - 2²⁰ = 100000000062481 is a prime.

It is a super-2 number, since 2×100000001111057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100000001111357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000000555528 + 50000000555529.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000555529).

Almost surely, 2^{100000001111057} is an apocalyptic number.

It is an amenable number.

100000001111057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000001111057 is an equidigital number, since it uses as much as digits as its factorization.

100000001111057 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 100000001111057 its reverse (750111100000001), we get a palindrome (850111101111058).

The spelling of 100000001111057 in words is "one hundred trillion, one million, one hundred eleven thousand, fifty-seven".