101000000999999 has 4 divisors (see below), whose sum is σ = 101051769326400. Its totient is φ = 100948232673600.

The previous prime is 101000000999957. The next prime is 101000001000047. The reversal of 101000000999999 is 999999000000101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101000000999999 - 2²⁸ = 100999732564543 is a prime.

It is a Duffinian number.

101000000999999 is a modest number, since divided by 999999 gives 101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000050999999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25884160274 + ... + 25884164175.

It is an arithmetic number, because the mean of its divisors is an integer number (25262942331600).

Almost surely, 2^{101000000999999} is an apocalyptic number.

101000000999999 is a deficient number, since it is larger than the sum of its proper divisors (51768326401).

101000000999999 is an equidigital number, since it uses as much as digits as its factorization.

101000000999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51768326400.

The product of its (nonzero) digits is 531441, while the sum is 56.

It can be divided in two parts, 101000000999 and 999, that multiplied together give a palindrome (100899000998001).

The spelling of 101000000999999 in words is "one hundred one trillion, nine hundred ninety-nine thousand, nine hundred ninety-nine".