11000110100112 has 240 divisors, whose sum is σ = 36139856044032. Its totient is φ = 3057431546880.

The previous prime is 11000110100101. The next prime is 11000110100123. The reversal of 11000110100112 is 21100101100011.

It is an interprime number because it is at equal distance from previous prime (11000110100101) and next prime (11000110100123).

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 = 11000110100094 and 11000110100103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257731318 + ... + 257773994.

Almost surely, 2^{11000110100112} is an apocalyptic number.

11000110100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000110100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18069928022016).

11000110100112 is an abundant number, since it is smaller than the sum of its proper divisors (25139745943920).

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

11000110100112 is a wasteful number, since it uses less digits than its factorization.

11000110100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49646 (or 49637 counting only the distinct ones).

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

Adding to 11000110100112 its reverse (21100101100011), we get a palindrome (32100211200123).

The spelling of 11000110100112 in words is "eleven trillion, one hundred ten million, one hundred thousand, one hundred twelve".