100110110111149 has 2 divisors, whose sum is σ = 100110110111150. Its totient is φ = 100110110111148.

The previous prime is 100110110111057. The next prime is 100110110111153. The reversal of 100110110111149 is 941111011011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53511492674025 + 46598617437124 = 7315155^2 + 6826318^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110110111149 - 2²⁵ = 100110076556717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110110111159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055055574 + 50055055055575.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055055575).

Almost surely, 2^{100110110111149} is an apocalyptic number.

It is an amenable number.

100110110111149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110110111149 is an equidigital number, since it uses as much as digits as its factorization.

100110110111149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 100110110111149 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred eleven thousand, one hundred forty-nine".