100112121221 has 16 divisors (see below), whose sum is σ = 115575439488. Its totient is φ = 84939624000.

The previous prime is 100112121181. The next prime is 100112121227. The reversal of 100112121221 is 122121211001.

It is not a de Polignac number, because 100112121221 - 2¹⁴ = 100112104837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112121196 and 100112121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121227) 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, 3251726 + ... + 3282368.

It is an arithmetic number, because the mean of its divisors is an integer number (7223464968).

Almost surely, 2^100112121221 is an apocalyptic number.

It is an amenable number.

100112121221 is a deficient number, since it is larger than the sum of its proper divisors (15463318267).

100112121221 is a wasteful number, since it uses less digits than its factorization.

100112121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35372.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112121221 its reverse (122121211001), we get a palindrome (222233332222).

The spelling of 100112121221 in words is "one hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".