2111101110120 has 128 divisors (see below), whose sum is σ = 6611105255040. Its totient is φ = 538765655040.

The previous prime is 2111101110103. The next prime is 2111101110121. The reversal of 2111101110120 is 210111011112.

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 = 2111101110096 and 2111101110105.

It is not an unprimeable number, because it can be changed into a prime (2111101110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3626482 + ... + 4168161.

It is an arithmetic number, because the mean of its divisors is an integer number (51649259805).

Almost surely, 2^{2111101110120} is an apocalyptic number.

2111101110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111101110120 is an abundant number, since it is smaller than the sum of its proper divisors (4500004144920).

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

2111101110120 is a wasteful number, since it uses less digits than its factorization.

2111101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794755 (or 7794751 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111101110120 its reverse (210111011112), we get a palindrome (2321212121232).

The spelling of 2111101110120 in words is "two trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred twenty".