100012001111221 has 8 divisors (see below), whose sum is σ = 100082903736600. Its totient is φ = 99941100037632.

The previous prime is 100012001111201. The next prime is 100012001111227. The reversal of 100012001111221 is 122111100210001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46756466136900 + 53255534974321 = 6837870^2 + 7297639^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100012001111221 - 2⁷ = 100012001111093 is a prime.

It is a super-2 number, since 2×100012001111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012001111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148858755 + ... + 149529103.

It is an arithmetic number, because the mean of its divisors is an integer number (12510362967075).

Almost surely, 2^{100012001111221} is an apocalyptic number.

It is an amenable number.

100012001111221 is a deficient number, since it is larger than the sum of its proper divisors (70902625379).

100012001111221 is a wasteful number, since it uses less digits than its factorization.

100012001111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775895.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100012001111221 its reverse (122111100210001), we get a palindrome (222123101321222).

The spelling of 100012001111221 in words is "one hundred trillion, twelve billion, one million, one hundred eleven thousand, two hundred twenty-one".