100111000111049 has 2 divisors, whose sum is σ = 100111000111050. Its totient is φ = 100111000111048.

The previous prime is 100111000110983. The next prime is 100111000111051. The reversal of 100111000111049 is 940111000111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88211673899449 + 11899326211600 = 9392107^2 + 3449540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111000111049 is a prime.

Together with 100111000111051, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111000111049.

It is not a weakly prime, because it can be changed into another prime (100111000111099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500055524 + 50055500055525.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500055525).

Almost surely, 2^{100111000111049} is an apocalyptic number.

It is an amenable number.

100111000111049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000111049 is an equidigital number, since it uses as much as digits as its factorization.

100111000111049 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 20.

The spelling of 100111000111049 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven thousand, forty-nine".