110122220212001 has 2 divisors, whose sum is σ = 110122220212002. Its totient is φ = 110122220212000.

The previous prime is 110122220211989. The next prime is 110122220212003. The reversal of 110122220212001 is 100212022221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106697000171776 + 3425220040225 = 10329424^2 + 1850735^2 .

It is an emirp because it is prime and its reverse (100212022221011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110122220212001 is a prime.

Together with 110122220212003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110122220212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061110106000 + 55061110106001.

It is an arithmetic number, because the mean of its divisors is an integer number (55061110106001).

Almost surely, 2^{110122220212001} is an apocalyptic number.

It is an amenable number.

110122220212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122220212001 is an equidigital number, since it uses as much as digits as its factorization.

110122220212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 110122220212001 its reverse (100212022221011), we get a palindrome (210334242433012).

The spelling of 110122220212001 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twelve thousand, one".