100011311132199 has 32 divisors (see below), whose sum is σ = 140712228518400. Its totient is φ = 63057579594240.

The previous prime is 100011311132179. The next prime is 100011311132233. The reversal of 100011311132199 is 991231113110001.

It is not a de Polignac number, because 100011311132199 - 2¹⁹ = 100011310607911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011311132179) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429317544 + ... + 429550434.

It is an arithmetic number, because the mean of its divisors is an integer number (4397257141200).

Almost surely, 2^{100011311132199} is an apocalyptic number.

100011311132199 is a deficient number, since it is larger than the sum of its proper divisors (40700917386201).

100011311132199 is a wasteful number, since it uses less digits than its factorization.

100011311132199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302935.

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 100011311132199 in words is "one hundred trillion, eleven billion, three hundred eleven million, one hundred thirty-two thousand, one hundred ninety-nine".