10100111009999 has 2 divisors, whose sum is σ = 10100111010000. Its totient is φ = 10100111009998.

The previous prime is 10100111009993. The next prime is 10100111010083. The reversal of 10100111009999 is 99990011100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100111009999 - 2⁸ = 10100111009743 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111009993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055504999 + 5050055505000.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055505000).

Almost surely, 2^{10100111009999} is an apocalyptic number.

10100111009999 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111009999 is an equidigital number, since it uses as much as digits as its factorization.

10100111009999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 10100111009999 in words is "ten trillion, one hundred billion, one hundred eleven million, nine thousand, nine hundred ninety-nine".