100110111100169 has 2 divisors, whose sum is σ = 100110111100170. Its totient is φ = 100110111100168.

The previous prime is 100110111100079. The next prime is 100110111100247. The reversal of 100110111100169 is 961001111011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52863252986944 + 47246858113225 = 7270712^2 + 6873635^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110111100169 - 2⁸ = 100110111099913 is a prime.

It is a super-2 number, since 2×100110111100169² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110171100169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055550084 + 50055055550085.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055550085).

Almost surely, 2^{100110111100169} is an apocalyptic number.

It is an amenable number.

100110111100169 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110111100169 is an equidigital number, since it uses as much as digits as its factorization.

100110111100169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 23.

The spelling of 100110111100169 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, one hundred sixty-nine".