212000222001100 has 144 divisors (see below), whose sum is σ = 515515834124928. Its totient is φ = 75166035010560.

The previous prime is 212000222001097. The next prime is 212000222001101. The reversal of 212000222001100 is 1100222000212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (212000222001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29494959 + ... + 35971558.

It is an arithmetic number, because the mean of its divisors is an integer number (3579971070312).

Almost surely, 2^{212000222001100} is an apocalyptic number.

212000222001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000222001100 is an abundant number, since it is smaller than the sum of its proper divisors (303515612123828).

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

212000222001100 is a wasteful number, since it uses less digits than its factorization.

212000222001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65466644 (or 65466637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212000222001100 its reverse (1100222000212), we get a palindrome (213100444001312).

The spelling of 212000222001100 in words is "two hundred twelve trillion, two hundred twenty-two million, one thousand, one hundred".