110212221221001 has 12 divisors (see below), whose sum is σ = 159376129223220. Its totient is φ = 73391414807040.

The previous prime is 110212221220991. The next prime is 110212221221033. The reversal of 110212221221001 is 100122122212011.

110212221221001 is a `hidden beast` number, since 1 + 10 + 212 + 221 + 221 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19517168894976 + 90695052326025 = 4417824^2 + 9523395^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110212221221001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110212221221071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6949936656 + ... + 6949952513.

It is an arithmetic number, because the mean of its divisors is an integer number (13281344101935).

Almost surely, 2^{110212221221001} is an apocalyptic number.

It is an amenable number.

110212221221001 is a deficient number, since it is larger than the sum of its proper divisors (49163908002219).

110212221221001 is a wasteful number, since it uses less digits than its factorization.

110212221221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899890056 (or 13899890053 counting only the distinct ones).

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

Adding to 110212221221001 its reverse (100122122212011), we get a palindrome (210334343433012).

The spelling of 110212221221001 in words is "one hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one".