100105111001112 has 32 divisors (see below), whose sum is σ = 286014602860800. Its totient is φ = 28601460285984.

The previous prime is 100105111001047. The next prime is 100105111001123. The reversal of 100105111001112 is 211100111501001.

It is a junction number, because it is equal to n+sod(n) for n = 100105111001091 and 100105111001100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297931877812 + ... + 297931878147.

It is an arithmetic number, because the mean of its divisors is an integer number (8937956339400).

Almost surely, 2^{100105111001112} is an apocalyptic number.

100105111001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100105111001112 is an abundant number, since it is smaller than the sum of its proper divisors (185909491859688).

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

100105111001112 is a wasteful number, since it uses less digits than its factorization.

100105111001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595863755975 (or 595863755971 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 15.

Adding to 100105111001112 its reverse (211100111501001), we get a palindrome (311205222502113).

The spelling of 100105111001112 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one thousand, one hundred twelve".