11100002112120 has 128 divisors (see below), whose sum is σ = 35246300544000. Its totient is φ = 2788718077440.

The previous prime is 11100002112113. The next prime is 11100002112127. The reversal of 11100002112120 is 2121120000111.

11100002112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11100002112113) and next prime (11100002112127).

It is a super-2 number, since 2×11100002112120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100002112096 and 11100002112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100002112127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13036000 + ... + 13861359.

It is an arithmetic number, because the mean of its divisors is an integer number (275361723000).

Almost surely, 2^{11100002112120} is an apocalyptic number.

11100002112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100002112120 is an abundant number, since it is smaller than the sum of its proper divisors (24146298431880).

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

11100002112120 is a wasteful number, since it uses less digits than its factorization.

11100002112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26897573 (or 26897569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100002112120 its reverse (2121120000111), we get a palindrome (13221122112231).

The spelling of 11100002112120 in words is "eleven trillion, one hundred billion, two million, one hundred twelve thousand, one hundred twenty".