2213104201000 has 256 divisors, whose sum is σ = 6474885880320. Its totient is φ = 687836160000.

The previous prime is 2213104200997. The next prime is 2213104201051. The reversal of 2213104201000 is 1024013122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27140290 + ... + 27221710.

It is an arithmetic number, because the mean of its divisors is an integer number (25292522970).

Almost surely, 2^{2213104201000} is an apocalyptic number.

2213104201000 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 2213104201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237442940160).

2213104201000 is an abundant number, since it is smaller than the sum of its proper divisors (4261781679320).

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

2213104201000 is a wasteful number, since it uses less digits than its factorization.

2213104201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81813 (or 81799 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2213104201000 its reverse (1024013122), we get a palindrome (2214128214122).

The spelling of 2213104201000 in words is "two trillion, two hundred thirteen billion, one hundred four million, two hundred one thousand".