101105110555997 has 2 divisors, whose sum is σ = 101105110555998. Its totient is φ = 101105110555996.

The previous prime is 101105110555921. The next prime is 101105110556011. The reversal of 101105110555997 is 799555011501101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93761476668601 + 7343633887396 = 9683051^2 + 2709914^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105110555997 - 2³⁰ = 101104036814173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101105110555907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552555277998 + 50552555277999.

It is an arithmetic number, because the mean of its divisors is an integer number (50552555277999).

Almost surely, 2^{101105110555997} is an apocalyptic number.

It is an amenable number.

101105110555997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105110555997 is an equidigital number, since it uses as much as digits as its factorization.

101105110555997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 354375, while the sum is 50.

The spelling of 101105110555997 in words is "one hundred one trillion, one hundred five billion, one hundred ten million, five hundred fifty-five thousand, nine hundred ninety-seven".