2110011001120 has 192 divisors, whose sum is σ = 5455119301632. Its totient is φ = 764876160000.

The previous prime is 2110011001079. The next prime is 2110011001123. The reversal of 2110011001120 is 211001100112.

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 = 2110011001097 and 2110011001106.

It is not an unprimeable number, because it can be changed into a prime (2110011001123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1454176395 + ... + 1454177845.

It is an arithmetic number, because the mean of its divisors is an integer number (28412079696).

Almost surely, 2^{2110011001120} is an apocalyptic number.

2110011001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110011001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727559650816).

2110011001120 is an abundant number, since it is smaller than the sum of its proper divisors (3345108300512).

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

2110011001120 is a wasteful number, since it uses less digits than its factorization.

2110011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3487 counting only the distinct ones).

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

2110011001120 divided by its sum of digits (10) gives a palindrome (211001100112).

Adding to 2110011001120 its reverse (211001100112), we get a palindrome (2321012101232).

It can be divided in two parts, 211001 and 1001120, that added together give a palindrome (1212121).

The spelling of 2110011001120 in words is "two trillion, one hundred ten billion, eleven million, one thousand, one hundred twenty".