100110122111221 has 16 divisors (see below), whose sum is σ = 103939323490800. Its totient is φ = 96306084499968.

The previous prime is 100110122111179. The next prime is 100110122111243. The reversal of 100110122111221 is 122111221011001.

It can be written as a sum of positive squares in 8 ways, for example, as 12576321708721 + 87533800402500 = 3546311^2 + 9355950^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110122111221 - 2²⁷ = 100109987893493 is a prime.

It is a super-2 number, since 2×100110122111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110122111195 and 100110122111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110122811221) 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, 281402985 + ... + 281758513.

It is an arithmetic number, because the mean of its divisors is an integer number (6496207718175).

Almost surely, 2^{100110122111221} is an apocalyptic number.

It is an amenable number.

100110122111221 is a deficient number, since it is larger than the sum of its proper divisors (3829201379579).

100110122111221 is a wasteful number, since it uses less digits than its factorization.

100110122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390888.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100110122111221 its reverse (122111221011001), we get a palindrome (222221343122222).

The spelling of 100110122111221 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".