2101200212224 has 72 divisors (see below), whose sum is σ = 4322852345952. Its totient is φ = 1018686689280.

The previous prime is 2101200212213. The next prime is 2101200212249. The reversal of 2101200212224 is 4222120021012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096767 + ... + 2324929.

It is an arithmetic number, because the mean of its divisors is an integer number (60039615916).

Almost surely, 2^{2101200212224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101200212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161426172976).

2101200212224 is an abundant number, since it is smaller than the sum of its proper divisors (2221652133728).

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

2101200212224 is a wasteful number, since it uses less digits than its factorization.

2101200212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228383 (or 1228369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2101200212224 its reverse (4222120021012), we get a palindrome (6323320233236).

The spelling of 2101200212224 in words is "two trillion, one hundred one billion, two hundred million, two hundred twelve thousand, two hundred twenty-four".