212221321040100 has 72 divisors (see below), whose sum is σ = 614238103120320. Its totient is φ = 56572897815680.

The previous prime is 212221321040059. The next prime is 212221321040111. The reversal of 212221321040100 is 1040123122212.

It is a happy number.

It is a super-3 number, since 3×212221321040100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120716232 + ... + 122461631.

It is an arithmetic number, because the mean of its divisors is an integer number (8531084765560).

Almost surely, 2^{212221321040100} is an apocalyptic number.

212221321040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221321040100 is an abundant number, since it is smaller than the sum of its proper divisors (402016782080220).

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

212221321040100 is a wasteful number, since it uses less digits than its factorization.

212221321040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243180789 (or 243180782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212221321040100 its reverse (1040123122212), we get a palindrome (213261444162312).

The spelling of 212221321040100 in words is "two hundred twelve trillion, two hundred twenty-one billion, three hundred twenty-one million, forty thousand, one hundred".