11002111120 has 480 divisors, whose sum is σ = 36833892480. Its totient is φ = 2995937280.

The previous prime is 11002111069. The next prime is 11002111129. The reversal of 11002111120 is 2111120011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11002111097 and 11002111106.

It is not an unprimeable number, because it can be changed into a prime (11002111129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10650124 + ... + 10651156.

It is an arithmetic number, because the mean of its divisors is an integer number (76737276).

Almost surely, 2^11002111120 is an apocalyptic number.

11002111120 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 11002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416946240).

11002111120 is an abundant number, since it is smaller than the sum of its proper divisors (25831781360).

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

11002111120 is a wasteful number, since it uses less digits than its factorization.

11002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11002111120 its reverse (2111120011), we get a palindrome (13113231131).

The spelling of 11002111120 in words is "eleven billion, two million, one hundred eleven thousand, one hundred twenty".