2122112101200 has 960 divisors, whose sum is σ = 8879288689152. Its totient is φ = 420426547200.

The previous prime is 2122112101171. The next prime is 2122112101211. The reversal of 2122112101200 is 21012112212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122112101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1004311344 + ... + 1004313456.

Almost surely, 2^{2122112101200} is an apocalyptic number.

2122112101200 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 2122112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439644344576).

2122112101200 is an abundant number, since it is smaller than the sum of its proper divisors (6757176587952).

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

2122112101200 is a wasteful number, since it uses less digits than its factorization.

2122112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122112101200 its reverse (21012112212), we get a palindrome (2143124213412).

The spelling of 2122112101200 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, two hundred".