10101000100999 has 8 divisors (see below), whose sum is σ = 10399317560192. Its totient is φ = 9805564936440.

The previous prime is 10101000100987. The next prime is 10101000101039. The reversal of 10101000100999 is 99900100010101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101000100999 - 2⁷ = 10101000100871 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101000100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000190999) 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 in 7 ways as a sum of consecutive naturals, for example, 720566547 + ... + 720580564.

It is an arithmetic number, because the mean of its divisors is an integer number (1299914695024).

Almost surely, 2^{10101000100999} is an apocalyptic number.

10101000100999 is a deficient number, since it is larger than the sum of its proper divisors (298317459193).

10101000100999 is a wasteful number, since it uses less digits than its factorization.

10101000100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441147317.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 10101000100999 in words is "ten trillion, one hundred one billion, one hundred thousand, nine hundred ninety-nine".