1000110011120 has 160 divisors (see below), whose sum is σ = 2554739771904. Its totient is φ = 361086336000.

The previous prime is 1000110011051. The next prime is 1000110011123. The reversal of 1000110011120 is 211100110001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000110011098 and 1000110011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175424270 + ... + 175429970.

Almost surely, 2^{1000110011120} is an apocalyptic number.

1000110011120 is a gapful number since it is divisible by the number (10) 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 1000110011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277369885952).

1000110011120 is an abundant number, since it is smaller than the sum of its proper divisors (1554629760784).

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

1000110011120 is a wasteful number, since it uses less digits than its factorization.

1000110011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7105 counting only the distinct ones).

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

Adding to 1000110011120 its reverse (211100110001), we get a palindrome (1211210121121).

The spelling of 1000110011120 in words is "one trillion, one hundred ten million, eleven thousand, one hundred twenty".