2110121111200 has 144 divisors (see below), whose sum is σ = 5164305635160. Its totient is φ = 841926021120.

The previous prime is 2110121111141. The next prime is 2110121111239. The reversal of 2110121111200 is 21111210112.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1314664041744 + 795457069456 = 1146588^2 + 891884^2 .

It is a super-2 number, since 2×2110121111200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725375346 + ... + 725378254.

Almost surely, 2^{2110121111200} is an apocalyptic number.

2110121111200 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 2110121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582152817580).

2110121111200 is an abundant number, since it is smaller than the sum of its proper divisors (3054184523960).

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

2110121111200 is a wasteful number, since it uses less digits than its factorization.

2110121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2110121111200 its reverse (21111210112), we get a palindrome (2131232321312).

The spelling of 2110121111200 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".