2012222100 has 144 divisors (see below), whose sum is σ = 6668823168. Its totient is φ = 458895360.

The previous prime is 2012222089. The next prime is 2012222141. The reversal of 2012222100 is 12222102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294924 + ... + 1296476.

It is an arithmetic number, because the mean of its divisors is an integer number (46311272).

Almost surely, 2^2012222100 is an apocalyptic number.

2012222100 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 2012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334411584).

2012222100 is an abundant number, since it is smaller than the sum of its proper divisors (4656601068).

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

2012222100 is a wasteful number, since it uses less digits than its factorization.

2012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012222100 is about 44857.7986530770. The cubic root of 2012222100 is about 1262.4823197864.

Adding to 2012222100 its reverse (12222102), we get a palindrome (2024444202).

The spelling of 2012222100 in words is "two billion, twelve million, two hundred twenty-two thousand, one hundred".