100111011011057 has 2 divisors, whose sum is σ = 100111011011058. Its totient is φ = 100111011011056.

The previous prime is 100111011010987. The next prime is 100111011011083. The reversal of 100111011011057 is 750110110111001.

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., 89616061163776 + 10494949847281 = 9466576^2 + 3239591^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011011057 - 2¹⁰ = 100111011010033 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111011011257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505505528 + 50055505505529.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505505529).

Almost surely, 2^{100111011011057} is an apocalyptic number.

It is an amenable number.

100111011011057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011011057 is an equidigital number, since it uses as much as digits as its factorization.

100111011011057 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 20.

Adding to 100111011011057 its reverse (750110110111001), we get a palindrome (850221121122058).

The spelling of 100111011011057 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand, fifty-seven".