110001222121001 has 2 divisors, whose sum is σ = 110001222121002. Its totient is φ = 110001222121000.

The previous prime is 110001222120913. The next prime is 110001222121031. The reversal of 110001222121001 is 100121222100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102116784931225 + 7884437189776 = 10105285^2 + 2807924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110001222121001 is a prime.

It is a super-2 number, since 2×110001222121001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110001222121031) 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, 55000611060500 + 55000611060501.

It is an arithmetic number, because the mean of its divisors is an integer number (55000611060501).

Almost surely, 2^{110001222121001} is an apocalyptic number.

It is an amenable number.

110001222121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001222121001 is an equidigital number, since it uses as much as digits as its factorization.

110001222121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110001222121001 its reverse (100121222100011), we get a palindrome (210122444221012).

The spelling of 110001222121001 in words is "one hundred ten trillion, one billion, two hundred twenty-two million, one hundred twenty-one thousand, one".