100111201121112 has 64 divisors (see below), whose sum is σ = 258369968640000. Its totient is φ = 32291625611520.

The previous prime is 100111201121093. The next prime is 100111201121179. The reversal of 100111201121112 is 211121102111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111201121091 and 100111201121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5609268 + ... + 15221244.

It is an arithmetic number, because the mean of its divisors is an integer number (4037030760000).

Almost surely, 2^{100111201121112} is an apocalyptic number.

100111201121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111201121112 is an abundant number, since it is smaller than the sum of its proper divisors (158258767518888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111201121112 is a wasteful number, since it uses less digits than its factorization.

100111201121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626016 (or 9626012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100111201121112 its reverse (211121102111001), we get a palindrome (311232303232113).

The spelling of 100111201121112 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred twelve".