101101111200999 has 40 divisors (see below), whose sum is σ = 185880105697440. Its totient is φ = 53328058651584.

The previous prime is 101101111200961. The next prime is 101101111201009. The reversal of 101101111200999 is 999002111101101.

It is not a de Polignac number, because 101101111200999 - 2¹⁵ = 101101111168231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111202999) 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 39 ways as a sum of consecutive naturals, for example, 6858024864 + ... + 6858039605.

It is an arithmetic number, because the mean of its divisors is an integer number (4647002642436).

Almost surely, 2^{101101111200999} is an apocalyptic number.

101101111200999 is a deficient number, since it is larger than the sum of its proper divisors (84778994496441).

101101111200999 is a wasteful number, since it uses less digits than its factorization.

101101111200999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716064501 (or 13716064492 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 36.

The spelling of 101101111200999 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred thousand, nine hundred ninety-nine".