2222002113100 has 216 divisors, whose sum is σ = 6121265713920. Its totient is φ = 692301456000.

The previous prime is 2222002113077. The next prime is 2222002113113. The reversal of 2222002113100 is 13112002222.

It is a happy number.

It is a super-2 number, since 2×2222002113100² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 171988441 + ... + 172001359.

It is an arithmetic number, because the mean of its divisors is an integer number (28339193120).

Almost surely, 2^{2222002113100} is an apocalyptic number.

2222002113100 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 2222002113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060632856960).

2222002113100 is an abundant number, since it is smaller than the sum of its proper divisors (3899263600820).

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

2222002113100 is a wasteful number, since it uses less digits than its factorization.

2222002113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16149 (or 16135 counting only the distinct ones).

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

Adding to 2222002113100 its reverse (13112002222), we get a palindrome (2235114115322).

The spelling of 2222002113100 in words is "two trillion, two hundred twenty-two billion, two million, one hundred thirteen thousand, one hundred".