110212222101001 has 16 divisors (see below), whose sum is σ = 112225140522000. Its totient is φ = 108213535761408.

The previous prime is 110212222100971. The next prime is 110212222101089. The reversal of 110212222101001 is 100101222212011.

It can be written as a sum of positive squares in 8 ways, for example, as 3775447188601 + 106436774912400 = 1943051^2 + 10316820^2 .

It is a cyclic number.

It is not a de Polignac number, because 110212222101001 - 2¹⁹ = 110212221576713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110212222101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22878925 + ... + 27273973.

It is an arithmetic number, because the mean of its divisors is an integer number (7014071282625).

Almost surely, 2^{110212222101001} is an apocalyptic number.

It is an amenable number.

110212222101001 is a deficient number, since it is larger than the sum of its proper divisors (2012918420999).

110212222101001 is a wasteful number, since it uses less digits than its factorization.

110212222101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396668.

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

Adding to 110212222101001 its reverse (100101222212011), we get a palindrome (210313444313012).

The spelling of 110212222101001 in words is "one hundred ten trillion, two hundred twelve billion, two hundred twenty-two million, one hundred one thousand, one".