110010100100112 has 50 divisors (see below), whose sum is σ = 318401146203998. Its totient is φ = 36670033366272.

The previous prime is 110010100100107. The next prime is 110010100100149. The reversal of 110010100100112 is 211001001010011.

It can be written as a sum of positive squares in only one way, i.e., 92911015009296 + 17099085090816 = 9639036^2 + 4135104^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110010100100094 and 110010100100103.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42442166953 + ... + 42442169544.

Almost surely, 2^{110010100100112} is an apocalyptic number.

110010100100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110010100100112 is an abundant number, since it is smaller than the sum of its proper divisors (208391046103886).

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

110010100100112 is an equidigital number, since it uses as much as digits as its factorization.

110010100100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84884336517 (or 84884336502 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010100100112 its reverse (211001001010011), we get a palindrome (321011101110123).

The spelling of 110010100100112 in words is "one hundred ten trillion, ten billion, one hundred million, one hundred thousand, one hundred twelve".