2110121200 has 240 divisors, whose sum is σ = 5978188800. Its totient is φ = 707660800.

The previous prime is 2110121197. The next prime is 2110121231. The reversal of 2110121200 is 21210112.

It is a super-2 number, since 2×2110121200² = 8905222957378880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2934441 + ... + 2935159.

It is an arithmetic number, because the mean of its divisors is an integer number (24909120).

Almost surely, 2^2110121200 is an apocalyptic number.

2110121200 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 2110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989094400).

2110121200 is an abundant number, since it is smaller than the sum of its proper divisors (3868067600).

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

2110121200 is a wasteful number, since it uses less digits than its factorization.

2110121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2110121200 is about 45936.0555555220. The cubic root of 2110121200 is about 1282.6331699180.

Adding to 2110121200 its reverse (21210112), we get a palindrome (2131331312).

It can be divided in two parts, 211012 and 1200, that added together give a palindrome (212212).

The spelling of 2110121200 in words is "two billion, one hundred ten million, one hundred twenty-one thousand, two hundred".