12221220112101 has 144 divisors (see below), whose sum is σ = 24777037853568. Its totient is φ = 5701937068800.

The previous prime is 12221220112099. The next prime is 12221220112103. The reversal of 12221220112101 is 10121102212221.

12221220112101 is a `hidden beast` number, since 1 + 2 + 221 + 220 + 11 + 210 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12221220112099) and next prime (12221220112103).

It is not a de Polignac number, because 12221220112101 - 2¹ = 12221220112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221220112103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285505 + ... + 4952166.

It is an arithmetic number, because the mean of its divisors is an integer number (172062762872).

Almost surely, 2^{12221220112101} is an apocalyptic number.

12221220112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221220112101 is an abundant number, since it is smaller than the sum of its proper divisors (12555817741467).

12221220112101 is a wasteful number, since it uses less digits than its factorization.

12221220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237752 (or 5237742 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221220112101 its reverse (10121102212221), we get a palindrome (22342322324322).

It can be divided in two parts, 12221220 and 112101, that added together give a palindrome (12333321).

The spelling of 12221220112101 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred one".