101110111201119 has 24 divisors (see below), whose sum is σ = 140931024295600. Its totient is φ = 64475445146112.

The previous prime is 101110111201091. The next prime is 101110111201153. The reversal of 101110111201119 is 911102111011101.

It is not a de Polignac number, because 101110111201119 - 2¹⁵ = 101110111168351 is a prime.

It is a super-2 number, since 2×101110111201119² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110111201095 and 101110111201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110111201019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250723857 + ... + 251126805.

Almost surely, 2^{101110111201119} is an apocalyptic number.

101110111201119 is a deficient number, since it is larger than the sum of its proper divisors (39820913094481).

101110111201119 is a wasteful number, since it uses less digits than its factorization.

101110111201119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561111 (or 561088 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 21.

The spelling of 101110111201119 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, two hundred one thousand, one hundred nineteen".