22002122121100 has 72 divisors (see below), whose sum is σ = 52312469756400. Its totient is φ = 7965833721600.

The previous prime is 22002122121071. The next prime is 22002122121127. The reversal of 22002122121100 is 112122120022.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 43420435 + ... + 43924234.

It is an arithmetic number, because the mean of its divisors is an integer number (726562079950).

Almost surely, 2^{22002122121100} is an apocalyptic number.

22002122121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002122121100 is an abundant number, since it is smaller than the sum of its proper divisors (30310347635300).

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

22002122121100 is a wasteful number, since it uses less digits than its factorization.

22002122121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87344923 (or 87344916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22002122121100 its reverse (112122120022), we get a palindrome (22114244241122).

The spelling of 22002122121100 in words is "twenty-two trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".