100012011011257 has 2 divisors, whose sum is σ = 100012011011258. Its totient is φ = 100012011011256.

The previous prime is 100012011011207. The next prime is 100012011011291. The reversal of 100012011011257 is 752110110210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86219841695296 + 13792169315961 = 9285464^2 + 3713781^2 .

It is an emirp because it is prime and its reverse (752110110210001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012011011257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012011011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006005505628 + 50006005505629.

It is an arithmetic number, because the mean of its divisors is an integer number (50006005505629).

Almost surely, 2^{100012011011257} is an apocalyptic number.

It is an amenable number.

100012011011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012011011257 is an equidigital number, since it uses as much as digits as its factorization.

100012011011257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 22.

Adding to 100012011011257 its reverse (752110110210001), we get a palindrome (852122121221258).

The spelling of 100012011011257 in words is "one hundred trillion, twelve billion, eleven million, eleven thousand, two hundred fifty-seven".