221200121012 has 48 divisors (see below), whose sum is σ = 429515915472. Its totient is φ = 99043015680.

The previous prime is 221200120961. The next prime is 221200121033. The reversal of 221200121012 is 210121002122.

221200121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 82573470736 + 138626650276 = 287356^2 + 372326^2 .

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 15 ways as a sum of consecutive naturals, for example, 246083 + ... + 709194.

It is an arithmetic number, because the mean of its divisors is an integer number (8948248239).

Almost surely, 2^221200121012 is an apocalyptic number.

It is an amenable number.

221200121012 is a deficient number, since it is larger than the sum of its proper divisors (208315794460).

221200121012 is a wasteful number, since it uses less digits than its factorization.

221200121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955428 (or 955426 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221200121012 its reverse (210121002122), we get a palindrome (431321123134).

The spelling of 221200121012 in words is "two hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, twelve".