2110121100000 has 432 divisors, whose sum is σ = 7703174527776. Its totient is φ = 547482240000.

The previous prime is 2110121099971. The next prime is 2110121100077. The reversal of 2110121100000 is 11210112.

It is a happy number.

It is a super-2 number, since 2×2110121100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33268317 + ... + 33331683.

It is an arithmetic number, because the mean of its divisors is an integer number (17831422518).

Almost surely, 2^{2110121100000} is an apocalyptic number.

2110121100000 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 2110121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851587263888).

2110121100000 is an abundant number, since it is smaller than the sum of its proper divisors (5593053427776).

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

2110121100000 is an equidigital number, since it uses as much as digits as its factorization.

2110121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63445 (or 63414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110121100000 its reverse (11210112), we get a palindrome (2110132310112).

The spelling of 2110121100000 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred thousand".