101000000009999 has 16 divisors (see below), whose sum is σ = 103471179948864. Its totient is φ = 98567445312000.

The previous prime is 101000000009977. The next prime is 101000000010001. The reversal of 101000000009999 is 999900000000101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000000009999 is a prime.

It is a Duffinian number.

101000000009999 is a modest number, since divided by 9999 gives 101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000009929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22380539 + ... + 26512044.

It is an arithmetic number, because the mean of its divisors is an integer number (6466948746804).

Almost surely, 2^{101000000009999} is an apocalyptic number.

101000000009999 is a deficient number, since it is larger than the sum of its proper divisors (2471179938865).

101000000009999 is a wasteful number, since it uses less digits than its factorization.

101000000009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48892978.

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 101000000009999 in words is "one hundred one trillion, nine thousand, nine hundred ninety-nine".