100112000011189 has 2 divisors, whose sum is σ = 100112000011190. Its totient is φ = 100112000011188.

The previous prime is 100112000011039. The next prime is 100112000011229. The reversal of 100112000011189 is 981110000211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76733517894289 + 23378482116900 = 8759767^2 + 4835130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112000011189 is a prime.

It is a super-2 number, since 2×100112000011189² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112000011589) 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, 50056000005594 + 50056000005595.

It is an arithmetic number, because the mean of its divisors is an integer number (50056000005595).

Almost surely, 2^{100112000011189} is an apocalyptic number.

It is an amenable number.

100112000011189 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112000011189 is an equidigital number, since it uses as much as digits as its factorization.

100112000011189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 100112000011189 in words is "one hundred trillion, one hundred twelve billion, eleven thousand, one hundred eighty-nine".