10100110110997 has 2 divisors, whose sum is σ = 10100110110998. Its totient is φ = 10100110110996.

The previous prime is 10100110110967. The next prime is 10100110111027. The reversal of 10100110110997 is 79901101100101.

It is a balanced prime because it is at equal distance from previous prime (10100110110967) and next prime (10100110111027).

It can be written as a sum of positive squares in only one way, i.e., 5371459804881 + 4728650306116 = 2317641^2 + 2174546^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110110997 - 2⁷ = 10100110110869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100110110917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055055498 + 5050055055499.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055055499).

Almost surely, 2^{10100110110997} is an apocalyptic number.

It is an amenable number.

10100110110997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110110997 is an equidigital number, since it uses as much as digits as its factorization.

10100110110997 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 31.

The spelling of 10100110110997 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred ten thousand, nine hundred ninety-seven".