101000100999991 has 2 divisors, whose sum is σ = 101000100999992. Its totient is φ = 101000100999990.

The previous prime is 101000100999929. The next prime is 101000101000049. The reversal of 101000100999991 is 199999001000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000100999991 - 2¹⁵ = 101000100967223 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000100990991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050499995 + 50500050499996.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050499996).

Almost surely, 2^{101000100999991} is an apocalyptic number.

101000100999991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100999991 is an equidigital number, since it uses as much as digits as its factorization.

101000100999991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 49.

The spelling of 101000100999991 in words is "one hundred one trillion, one hundred million, nine hundred ninety-nine thousand, nine hundred ninety-one".