1100010100112 has 80 divisors (see below), whose sum is σ = 2658727152000. Its totient is φ = 428323768320.

The previous prime is 1100010100081. The next prime is 1100010100169. The reversal of 1100010100112 is 2110010100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1100010100112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844264 + ... + 2366712.

It is an arithmetic number, because the mean of its divisors is an integer number (33234089400).

Almost surely, 2^{1100010100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100010100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329363576000).

1100010100112 is an abundant number, since it is smaller than the sum of its proper divisors (1558717051888).

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

1100010100112 is a wasteful number, since it uses less digits than its factorization.

1100010100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524184 (or 524178 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100010100112 its reverse (2110010100011), we get a palindrome (3210020200123).

The spelling of 1100010100112 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one hundred twelve".