1100111100032 has 128 divisors (see below), whose sum is σ = 2549284531200. Its totient is φ = 463100359680.

The previous prime is 1100111100031. The next prime is 1100111100041. The reversal of 1100111100032 is 2300011110011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1100111100032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100111099986 and 1100111100022.

It is not an unprimeable number, because it can be changed into a prime (1100111100031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68873807 + ... + 68889777.

It is an arithmetic number, because the mean of its divisors is an integer number (19916285400).

Almost surely, 2^{1100111100032} 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 1100111100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274642265600).

1100111100032 is an abundant number, since it is smaller than the sum of its proper divisors (1449173431168).

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

1100111100032 is a wasteful number, since it uses less digits than its factorization.

1100111100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17354 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1100111100032 its reverse (2300011110011), we get a palindrome (3400122210043).

The spelling of 1100111100032 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred thousand, thirty-two".