101101110979117 has 2 divisors, whose sum is σ = 101101110979118. Its totient is φ = 101101110979116.

The previous prime is 101101110979039. The next prime is 101101110979129. The reversal of 101101110979117 is 711979011101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100945544631556 + 155566347561 = 10047166^2 + 394419^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101110979117 - 2³⁹ = 100551355165229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101110979117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101110970117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555489558 + 50550555489559.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555489559).

Almost surely, 2^{101101110979117} is an apocalyptic number.

It is an amenable number.

101101110979117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110979117 is an equidigital number, since it uses as much as digits as its factorization.

101101110979117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3969, while the sum is 40.

The spelling of 101101110979117 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, nine hundred seventy-nine thousand, one hundred seventeen".