101117119891 has 8 divisors (see below), whose sum is σ = 106481532960. Its totient is φ = 95833374912.

The previous prime is 101117119843. The next prime is 101117119907. The reversal of 101117119891 is 198911711101.

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 101117119891 - 2¹³ = 101117111699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101117119291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20164450 + ... + 20169463.

It is an arithmetic number, because the mean of its divisors is an integer number (13310191620).

Almost surely, 2^101117119891 is an apocalyptic number.

101117119891 is a deficient number, since it is larger than the sum of its proper divisors (5364413069).

101117119891 is a wasteful number, since it uses less digits than its factorization.

101117119891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40334045.

The product of its (nonzero) digits is 4536, while the sum is 40.

The spelling of 101117119891 in words is "one hundred one billion, one hundred seventeen million, one hundred nineteen thousand, eight hundred ninety-one".