11200120100120 has 32 divisors (see below), whose sum is σ = 28800308829600. Its totient is φ = 3840041177088.

The previous prime is 11200120100077. The next prime is 11200120100219. The reversal of 11200120100120 is 2100102100211.

11200120100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11200120100120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20000214185 + ... + 20000214744.

It is an arithmetic number, because the mean of its divisors is an integer number (900009650925).

Almost surely, 2^{11200120100120} is an apocalyptic number.

11200120100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200120100120 is an abundant number, since it is smaller than the sum of its proper divisors (17600188729480).

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

11200120100120 is a wasteful number, since it uses less digits than its factorization.

11200120100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40000428947 (or 40000428943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11200120100120 its reverse (2100102100211), we get a palindrome (13300222200331).

The spelling of 11200120100120 in words is "eleven trillion, two hundred billion, one hundred twenty million, one hundred thousand, one hundred twenty".