100121221221 has 48 divisors (see below), whose sum is σ = 163595727360. Its totient is φ = 54157027680.

The previous prime is 100121221177. The next prime is 100121221237. The reversal of 100121221221 is 122122121001.

It is not a de Polignac number, because 100121221221 - 2⁷ = 100121221093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100121221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121222221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3591880 + ... + 3619646.

It is an arithmetic number, because the mean of its divisors is an integer number (3408244320).

Almost surely, 2^100121221221 is an apocalyptic number.

It is an amenable number.

100121221221 is a deficient number, since it is larger than the sum of its proper divisors (63474506139).

100121221221 is a wasteful number, since it uses less digits than its factorization.

100121221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121221221 its reverse (122122121001), we get a palindrome (222243342222).

The spelling of 100121221221 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".