11002001110120 has 64 divisors (see below), whose sum is σ = 24981132430800. Its totient is φ = 4360686243840.

The previous prime is 11002001110117. The next prime is 11002001110151. The reversal of 11002001110120 is 2101110020011.

It can be written as a sum of positive squares in 8 ways, for example, as 1891950732324 + 9110050377796 = 1375482^2 + 3018286^2 .

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 = 11002001110097 and 11002001110106.

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, 737505 + ... + 4748464.

Almost surely, 2^{11002001110120} is an apocalyptic number.

11002001110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002001110120 is an abundant number, since it is smaller than the sum of its proper divisors (13979131320680).

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

11002001110120 is a wasteful number, since it uses less digits than its factorization.

11002001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486438 (or 5486434 counting only the distinct ones).

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

Adding to 11002001110120 its reverse (2101110020011), we get a palindrome (13103111130131).

The spelling of 11002001110120 in words is "eleven trillion, two billion, one million, one hundred ten thousand, one hundred twenty".