100112101112122 has 16 divisors (see below), whose sum is σ = 163824504730272. Its totient is φ = 45504194141520.

The previous prime is 100112101112117. The next prime is 100112101112129. The reversal of 100112101112122 is 221211101211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112101112096 and 100112101112105.

It is not an unprimeable number, because it can be changed into a prime (100112101112129) 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, 64534233 + ... + 66067324.

It is an arithmetic number, because the mean of its divisors is an integer number (10239031545642).

Almost surely, 2^{100112101112122} is an apocalyptic number.

100112101112122 is a deficient number, since it is larger than the sum of its proper divisors (63712403618150).

100112101112122 is a wasteful number, since it uses less digits than its factorization.

100112101112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130636413.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100112101112122 its reverse (221211101211001), we get a palindrome (321323202323123).

The spelling of 100112101112122 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred twelve thousand, one hundred twenty-two".