100110122011221 has 16 divisors (see below), whose sum is σ = 152633459660928. Its totient is φ = 57174020640000.

The previous prime is 100110122011213. The next prime is 100110122011253. The reversal of 100110122011221 is 122110221011001.

It is a happy number.

It is not a de Polignac number, because 100110122011221 - 2³ = 100110122011213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110122011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110122011271) 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, 1323434880 + ... + 1323510521.

It is an arithmetic number, because the mean of its divisors is an integer number (9539591228808).

Almost surely, 2^{100110122011221} is an apocalyptic number.

It is an amenable number.

100110122011221 is a deficient number, since it is larger than the sum of its proper divisors (52523337649707).

100110122011221 is a wasteful number, since it uses less digits than its factorization.

100110122011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646947212.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100110122011221 its reverse (122110221011001), we get a palindrome (222220343022222).

The spelling of 100110122011221 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".