2012222022100 has 36 divisors (see below), whose sum is σ = 4623376014684. Its totient is φ = 757542407680.

The previous prime is 2012222022053. The next prime is 2012222022119. The reversal of 2012222022100 is 12202222102.

It can be written as a sum of positive squares in 6 ways, for example, as 286351273924 + 1725870748176 = 535118^2 + 1313724^2 .

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 591828307 + ... + 591831706.

It is an arithmetic number, because the mean of its divisors is an integer number (128427111519).

Almost surely, 2^{2012222022100} is an apocalyptic number.

2012222022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012222022100 is an abundant number, since it is smaller than the sum of its proper divisors (2611153992584).

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

2012222022100 is a wasteful number, since it uses less digits than its factorization.

2012222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183660044 (or 1183660037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2012222022100 its reverse (12202222102), we get a palindrome (2024424244202).

The spelling of 2012222022100 in words is "two trillion, twelve billion, two hundred twenty-two million, twenty-two thousand, one hundred".