101121101010179 has 2 divisors, whose sum is σ = 101121101010180. Its totient is φ = 101121101010178.

The previous prime is 101121101010173. The next prime is 101121101010253. The reversal of 101121101010179 is 971010101121101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101121101010179 - 2²⁰ = 101121099961603 is a prime.

It is a super-2 number, since 2×101121101010179² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (101121101010173) 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, 50560550505089 + 50560550505090.

It is an arithmetic number, because the mean of its divisors is an integer number (50560550505090).

Almost surely, 2^{101121101010179} is an apocalyptic number.

101121101010179 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121101010179 is an equidigital number, since it uses as much as digits as its factorization.

101121101010179 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 26.

The spelling of 101121101010179 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred one million, ten thousand, one hundred seventy-nine".