100101111109991 has 2 divisors, whose sum is σ = 100101111109992. Its totient is φ = 100101111109990.

The previous prime is 100101111109969. The next prime is 100101111110149. The reversal of 100101111109991 is 199901111101001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100101111109991 - 2¹⁸ = 100101110847847 is a prime.

It is a super-2 number, since 2×100101111109991² (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 (100101111189991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555554995 + 50050555554996.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555554996).

Almost surely, 2^{100101111109991} is an apocalyptic number.

100101111109991 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101111109991 is an equidigital number, since it uses as much as digits as its factorization.

100101111109991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 35.

The spelling of 100101111109991 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred nine thousand, nine hundred ninety-one".