100112000002919 has 2 divisors, whose sum is σ = 100112000002920. Its totient is φ = 100112000002918.

The previous prime is 100112000002879. The next prime is 100112000002939. The reversal of 100112000002919 is 919200000211001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100112000002919 - 2²⁰ = 100111998954343 is a prime.

It is a super-2 number, since 2×100112000002919² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112000002939) 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, 50056000001459 + 50056000001460.

It is an arithmetic number, because the mean of its divisors is an integer number (50056000001460).

Almost surely, 2^{100112000002919} is an apocalyptic number.

100112000002919 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112000002919 is an equidigital number, since it uses as much as digits as its factorization.

100112000002919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 100112000002919 in words is "one hundred trillion, one hundred twelve billion, two thousand, nine hundred nineteen".