112102100111221 has 16 divisors (see below), whose sum is σ = 129524636815488. Its totient is φ = 95888295360000.

The previous prime is 112102100111129. The next prime is 112102100111233. The reversal of 112102100111221 is 122111001201211.

It is not a de Polignac number, because 112102100111221 - 2²¹ = 112102098014069 is a prime.

It is a super-2 number, since 2×112102100111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112102100111195 and 112102100111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102100111291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86668905 + ... + 87952846.

It is an arithmetic number, because the mean of its divisors is an integer number (8095289800968).

Almost surely, 2^{112102100111221} is an apocalyptic number.

112102100111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102100111221 is a deficient number, since it is larger than the sum of its proper divisors (17422536704267).

112102100111221 is a wasteful number, since it uses less digits than its factorization.

112102100111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174625212.

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

Adding to 112102100111221 its reverse (122111001201211), we get a palindrome (234213101312432).

The spelling of 112102100111221 in words is "one hundred twelve trillion, one hundred two billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".