100100010009991 has 2 divisors, whose sum is σ = 100100010009992. Its totient is φ = 100100010009990.

The previous prime is 100100010009971. The next prime is 100100010010069. The reversal of 100100010009991 is 199900010001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100010009991 - 2¹³ = 100100010001799 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100010009971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005004995 + 50050005004996.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005004996).

Almost surely, 2^{100100010009991} is an apocalyptic number.

100100010009991 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010009991 is an equidigital number, since it uses as much as digits as its factorization.

100100010009991 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 100100010009991 in words is "one hundred trillion, one hundred billion, ten million, nine thousand, nine hundred ninety-one".