2222001121100 has 144 divisors (see below), whose sum is σ = 5158925432640. Its totient is φ = 827753472000.

The previous prime is 2222001121073. The next prime is 2222001121127. The reversal of 2222001121100 is 11211002222.

It is an interprime number because it is at equal distance from previous prime (2222001121073) and next prime (2222001121127).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 454487456 + ... + 454492344.

It is an arithmetic number, because the mean of its divisors is an integer number (35825871060).

Almost surely, 2^{2222001121100} is an apocalyptic number.

2222001121100 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 2222001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579462716320).

2222001121100 is an abundant number, since it is smaller than the sum of its proper divisors (2936924311540).

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

2222001121100 is a wasteful number, since it uses less digits than its factorization.

2222001121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2222001121100 its reverse (11211002222), we get a palindrome (2233212123322).

The spelling of 2222001121100 in words is "two trillion, two hundred twenty-two billion, one million, one hundred twenty-one thousand, one hundred".