100100110099991 has 2 divisors, whose sum is σ = 100100110099992. Its totient is φ = 100100110099990.

The previous prime is 100100110099981. The next prime is 100100110099993. The reversal of 100100110099991 is 199990011001001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100110099991 - 2³⁴ = 100082930230807 is a prime.

Together with 100100110099993, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110099993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055049995 + 50050055049996.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055049996).

Almost surely, 2^{100100110099991} is an apocalyptic number.

100100110099991 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110099991 is an equidigital number, since it uses as much as digits as its factorization.

100100110099991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 100100110099991 in words is "one hundred trillion, one hundred billion, one hundred ten million, ninety-nine thousand, nine hundred ninety-one".