11111002120 has 32 divisors (see below), whose sum is σ = 26470330200. Its totient is φ = 4182965248.

The previous prime is 11111002099. The next prime is 11111002181. The reversal of 11111002120 is 2120011111.

It can be written as a sum of positive squares in 4 ways, for example, as 10326217924 + 784784196 = 101618^2 + 28014^2 .

It is a super-2 number, since 2×11111002120² (a number of 21 digits) contains 22 as substring.

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 = 11111002097 and 11111002106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8169175 + ... + 8170534.

Almost surely, 2^11111002120 is an apocalyptic number.

11111002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111002120 is an abundant number, since it is smaller than the sum of its proper divisors (15359328080).

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

11111002120 is a wasteful number, since it uses less digits than its factorization.

11111002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16339737 (or 16339733 counting only the distinct ones).

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

Adding to 11111002120 its reverse (2120011111), we get a palindrome (13231013231).

The spelling of 11111002120 in words is "eleven billion, one hundred eleven million, two thousand, one hundred twenty".