100112012002091 has 2 divisors, whose sum is σ = 100112012002092. Its totient is φ = 100112012002090.

The previous prime is 100112012002049. The next prime is 100112012002097. The reversal of 100112012002091 is 190200210211001.

It is a strong prime.

It is an emirp because it is prime and its reverse (190200210211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100112012002091 - 2²⁶ = 100111944893227 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112012002097) 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, 50056006001045 + 50056006001046.

It is an arithmetic number, because the mean of its divisors is an integer number (50056006001046).

Almost surely, 2^{100112012002091} is an apocalyptic number.

100112012002091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112012002091 is an equidigital number, since it uses as much as digits as its factorization.

100112012002091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 100112012002091 its reverse (190200210211001), we get a palindrome (290312222213092).

The spelling of 100112012002091 in words is "one hundred trillion, one hundred twelve billion, twelve million, two thousand, ninety-one".