11100000021120 has 96 divisors (see below), whose sum is σ = 38329687592820. Its totient is φ = 2960000004096.

The previous prime is 11100000021091. The next prime is 11100000021193. The reversal of 11100000021120 is 2112000000111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10364124280896 + 735875740224 = 3219336^2 + 857832^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963535909 + ... + 963547428.

Almost surely, 2^{11100000021120} is an apocalyptic number.

11100000021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100000021120 is an abundant number, since it is smaller than the sum of its proper divisors (27229687571700).

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

11100000021120 is a wasteful number, since it uses less digits than its factorization.

11100000021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927083362 (or 1927083347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100000021120 its reverse (2112000000111), we get a palindrome (13212000021231).

The spelling of 11100000021120 in words is "eleven trillion, one hundred billion, twenty-one thousand, one hundred twenty".