2222013102000 has 320 divisors, whose sum is σ = 7784075120640. Its totient is φ = 543241728000.

The previous prime is 2222013101983. The next prime is 2222013102007. The reversal of 2222013102000 is 2013102222.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2222013102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219624 + ... + 3848376.

It is an arithmetic number, because the mean of its divisors is an integer number (24325234752).

Almost surely, 2^{2222013102000} is an apocalyptic number.

2222013102000 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 2222013102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892037560320).

2222013102000 is an abundant number, since it is smaller than the sum of its proper divisors (5562062018640).

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

2222013102000 is a wasteful number, since it uses less digits than its factorization.

2222013102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628829 (or 628813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2222013102000 its reverse (2013102222), we get a palindrome (2224026204222).

The spelling of 2222013102000 in words is "two trillion, two hundred twenty-two billion, thirteen million, one hundred two thousand".