112100100212221 has 16 divisors (see below), whose sum is σ = 124126483579200. Its totient is φ = 100379878346880.

The previous prime is 112100100212197. The next prime is 112100100212231. The reversal of 112100100212221 is 122212001001211.

It is not a de Polignac number, because 112100100212221 - 2⁵ = 112100100212189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112100100212195 and 112100100212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100100212231) 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, 2693905 + ... + 15213721.

It is an arithmetic number, because the mean of its divisors is an integer number (7757905223700).

Almost surely, 2^{112100100212221} is an apocalyptic number.

112100100212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100100212221 is a deficient number, since it is larger than the sum of its proper divisors (12026383366979).

112100100212221 is a wasteful number, since it uses less digits than its factorization.

112100100212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532044.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112100100212221 its reverse (122212001001211), we get a palindrome (234312101213432).

The spelling of 112100100212221 in words is "one hundred twelve trillion, one hundred billion, one hundred million, two hundred twelve thousand, two hundred twenty-one".