101110011010997 has 2 divisors, whose sum is σ = 101110011010998. Its totient is φ = 101110011010996.

The previous prime is 101110011010969. The next prime is 101110011010999. The reversal of 101110011010997 is 799010110011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67862436233956 + 33247574777041 = 8237866^2 + 5766071^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110011010997 - 2³² = 101105716043701 is a prime.

Together with 101110011010999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110011010999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005505498 + 50555005505499.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005505499).

Almost surely, 2^{101110011010997} is an apocalyptic number.

It is an amenable number.

101110011010997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110011010997 is an equidigital number, since it uses as much as digits as its factorization.

101110011010997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 32.

The spelling of 101110011010997 in words is "one hundred one trillion, one hundred ten billion, eleven million, ten thousand, nine hundred ninety-seven".