101001000100991 has 2 divisors, whose sum is σ = 101001000100992. Its totient is φ = 101001000100990.

The previous prime is 101001000100939. The next prime is 101001000101041. The reversal of 101001000100991 is 199001000100101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101001000100991 - 2⁴² = 96602953589887 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000190991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500050495 + 50500500050496.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500050496).

Almost surely, 2^{101001000100991} is an apocalyptic number.

101001000100991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000100991 is an equidigital number, since it uses as much as digits as its factorization.

101001000100991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 101001000100991 in words is "one hundred one trillion, one billion, one hundred thousand, nine hundred ninety-one".