100101101121157 has 2 divisors, whose sum is σ = 100101101121158. Its totient is φ = 100101101121156.

The previous prime is 100101101121089. The next prime is 100101101121221. The reversal of 100101101121157 is 751121101101001.

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., 95566441604481 + 4534659516676 = 9775809^2 + 2129474^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101101121157 - 2¹¹ = 100101101119109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101101121757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550560578 + 50050550560579.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550560579).

Almost surely, 2^{100101101121157} is an apocalyptic number.

It is an amenable number.

100101101121157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101121157 is an equidigital number, since it uses as much as digits as its factorization.

100101101121157 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100101101121157 its reverse (751121101101001), we get a palindrome (851222202222158).

The spelling of 100101101121157 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred fifty-seven".