100111011011257 has 2 divisors, whose sum is σ = 100111011011258. Its totient is φ = 100111011011256.

The previous prime is 100111011011251. The next prime is 100111011011261. The reversal of 100111011011257 is 752110110111001.

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., 96577378009641 + 3533633001616 = 9827379^2 + 1879796^2 .

It is an emirp because it is prime and its reverse (752110110111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111011011257 - 2¹⁹ = 100111010486969 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111011011251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505505628 + 50055505505629.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505505629).

Almost surely, 2^{100111011011257} is an apocalyptic number.

It is an amenable number.

100111011011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011011257 is an equidigital number, since it uses as much as digits as its factorization.

100111011011257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 22.

Adding to 100111011011257 its reverse (752110110111001), we get a palindrome (852221121122258).

The spelling of 100111011011257 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand, two hundred fifty-seven".