2201122332100 has 36 divisors (see below), whose sum is σ = 4794191784900. Its totient is φ = 877175877760.

The previous prime is 2201122332061. The next prime is 2201122332109. The reversal of 2201122332100 is 12332211022.

It can be written as a sum of positive squares in 6 ways, for example, as 33296030784 + 2167826301316 = 182472^2 + 1472354^2 .

It is not an unprimeable number, because it can be changed into a prime (2201122332109) 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 11 ways as a sum of consecutive naturals, for example, 40886155 + ... + 40939954.

It is an arithmetic number, because the mean of its divisors is an integer number (133171994025).

Almost surely, 2^{2201122332100} is an apocalyptic number.

2201122332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201122332100 is an abundant number, since it is smaller than the sum of its proper divisors (2593069452800).

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

2201122332100 is a wasteful number, since it uses less digits than its factorization.

2201122332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81826392 (or 81826385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2201122332100 its reverse (12332211022), we get a palindrome (2213454543122).

The spelling of 2201122332100 in words is "two trillion, two hundred one billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred".