100120002201221 has 16 divisors (see below), whose sum is σ = 102043767374208. Its totient is φ = 98208930124800.

The previous prime is 100120002201161. The next prime is 100120002201227. The reversal of 100120002201221 is 122102200021001.

It is a cyclic number.

It is not a de Polignac number, because 100120002201221 - 2¹⁴ = 100120002184837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120002201196 and 100120002201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120002201227) 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 15 ways as a sum of consecutive naturals, for example, 217156781 + ... + 217617341.

It is an arithmetic number, because the mean of its divisors is an integer number (6377735460888).

Almost surely, 2^{100120002201221} is an apocalyptic number.

It is an amenable number.

100120002201221 is a deficient number, since it is larger than the sum of its proper divisors (1923765172987).

100120002201221 is a wasteful number, since it uses less digits than its factorization.

100120002201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474332.

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

Adding to 100120002201221 its reverse (122102200021001), we get a palindrome (222222202222222).

The spelling of 100120002201221 in words is "one hundred trillion, one hundred twenty billion, two million, two hundred one thousand, two hundred twenty-one".