100111011121157 has 2 divisors, whose sum is σ = 100111011121158. Its totient is φ = 100111011121156.

The previous prime is 100111011121129. The next prime is 100111011121207. The reversal of 100111011121157 is 751121110111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88583315720641 + 11527695400516 = 9411871^2 + 3395246^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011121157 - 2¹⁶ = 100111011055621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011121357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505560578 + 50055505560579.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505560579).

Almost surely, 2^{100111011121157} is an apocalyptic number.

It is an amenable number.

100111011121157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011121157 is an equidigital number, since it uses as much as digits as its factorization.

100111011121157 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 23.

Adding to 100111011121157 its reverse (751121110111001), we get a palindrome (851232121232158).

The spelling of 100111011121157 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred fifty-seven".