101111000110997 has 2 divisors, whose sum is σ = 101111000110998. Its totient is φ = 101111000110996.

The previous prime is 101111000110951. The next prime is 101111000111129. The reversal of 101111000110997 is 799011000111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99692516728996 + 1418483382001 = 9984614^2 + 1191001^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000110997 - 2²⁶ = 101110933002133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111000115997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500055498 + 50555500055499.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500055499).

Almost surely, 2^{101111000110997} is an apocalyptic number.

It is an amenable number.

101111000110997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000110997 is an equidigital number, since it uses as much as digits as its factorization.

101111000110997 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101111000110997 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten thousand, nine hundred ninety-seven".