101000010009991 has 2 divisors, whose sum is σ = 101000010009992. Its totient is φ = 101000010009990.

The previous prime is 101000010009979. The next prime is 101000010010049. The reversal of 101000010009991 is 199900010000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000010009991 - 2¹⁷ = 101000009878919 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000010009791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005004995 + 50500005004996.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005004996).

Almost surely, 2^{101000010009991} is an apocalyptic number.

101000010009991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000010009991 is an equidigital number, since it uses as much as digits as its factorization.

101000010009991 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 31.

The spelling of 101000010009991 in words is "one hundred one trillion, ten million, nine thousand, nine hundred ninety-one".