101000100100999 has 8 divisors (see below), whose sum is σ = 111272837556240. Its totient is φ = 90909181008000.

The previous prime is 101000100100981. The next prime is 101000100101057. The reversal of 101000100100999 is 999001001000101.

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 101000100100999 - 2²⁵ = 101000066546567 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 101000100100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100100979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45454589394 + ... + 45454591615.

It is an arithmetic number, because the mean of its divisors is an integer number (13909104694530).

Almost surely, 2^{101000100100999} is an apocalyptic number.

101000100100999 is a deficient number, since it is larger than the sum of its proper divisors (10272737455241).

101000100100999 is a wasteful number, since it uses less digits than its factorization.

101000100100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90909181121.

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

The spelling of 101000100100999 in words is "one hundred one trillion, one hundred million, one hundred thousand, nine hundred ninety-nine".