101100105991 has 8 divisors (see below), whose sum is σ = 101772994400. Its totient is φ = 100429230240.

The previous prime is 101100105961. The next prime is 101100106001. The reversal of 101100105991 is 199501001101.

It is a happy number.

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 101100105991 - 2⁵ = 101100105959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100105941) 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, 402300 + ... + 603361.

It is an arithmetic number, because the mean of its divisors is an integer number (12721624300).

Almost surely, 2^101100105991 is an apocalyptic number.

101100105991 is a deficient number, since it is larger than the sum of its proper divisors (672888409).

101100105991 is a wasteful number, since it uses less digits than its factorization.

101100105991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006329.

The product of its (nonzero) digits is 405, while the sum is 28.

The spelling of 101100105991 in words is "one hundred one billion, one hundred million, one hundred five thousand, nine hundred ninety-one".