2110121011200 has 288 divisors, whose sum is σ = 7164316766880. Its totient is φ = 547489382400.

The previous prime is 2110121011199. The next prime is 2110121011303. The reversal of 2110121011200 is 21101210112.

It is a super-2 number, since 2×2110121011200² (a number of 25 digits) contains 22 as substring.

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

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, 5497555 + ... + 5868845.

It is an arithmetic number, because the mean of its divisors is an integer number (24876099885).

Almost surely, 2^{2110121011200} is an apocalyptic number.

2110121011200 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 2110121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582158383440).

2110121011200 is an abundant number, since it is smaller than the sum of its proper divisors (5054195755680).

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

2110121011200 is a wasteful number, since it uses less digits than its factorization.

2110121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371363 (or 371338 counting only the distinct ones).

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

Adding to 2110121011200 its reverse (21101210112), we get a palindrome (2131222221312).

2110121011200 divided by its reverse (21101210112) gives a square (100 = 10²).

The spelling of 2110121011200 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, two hundred".