100111010109997 has 2 divisors, whose sum is σ = 100111010109998. Its totient is φ = 100111010109996.

The previous prime is 100111010109967. The next prime is 100111010110009. The reversal of 100111010109997 is 799901010111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92958348703081 + 7152661406916 = 9641491^2 + 2674446^2 .

It is an emirp because it is prime and its reverse (799901010111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111010109997 - 2³¹ = 100108862626349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010109967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505054998 + 50055505054999.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505054999).

Almost surely, 2^{100111010109997} is an apocalyptic number.

It is an amenable number.

100111010109997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010109997 is an equidigital number, since it uses as much as digits as its factorization.

100111010109997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 40.

The spelling of 100111010109997 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred nine thousand, nine hundred ninety-seven".