100112220111221 has 16 divisors (see below), whose sum is σ = 104708335906944. Its totient is φ = 95536419922944.

The previous prime is 100112220111209. The next prime is 100112220111259. The reversal of 100112220111221 is 122111022211001.

It is a cyclic number.

It is not a de Polignac number, because 100112220111221 - 2²⁶ = 100112153002357 is a prime.

It is a super-2 number, since 2×100112220111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100112220111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112220111821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142877285 + ... + 143576261.

It is an arithmetic number, because the mean of its divisors is an integer number (6544270994184).

Almost surely, 2^{100112220111221} is an apocalyptic number.

It is an amenable number.

100112220111221 is a deficient number, since it is larger than the sum of its proper divisors (4596115795723).

100112220111221 is a wasteful number, since it uses less digits than its factorization.

100112220111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713500.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100112220111221 its reverse (122111022211001), we get a palindrome (222223242322222).

The spelling of 100112220111221 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty-one".