110021101218001 has 2 divisors, whose sum is σ = 110021101218002. Its totient is φ = 110021101218000.

The previous prime is 110021101217873. The next prime is 110021101218079. The reversal of 110021101218001 is 100812101120011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92503327158225 + 17517774059776 = 9617865^2 + 4185424^2 .

It is a cyclic number.

It is not a de Polignac number, because 110021101218001 - 2⁷ = 110021101217873 is a prime.

It is a super-2 number, since 2×110021101218001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110021101218001.

It is not a weakly prime, because it can be changed into another prime (110021101258001) 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 as a sum of consecutive naturals, namely, 55010550609000 + 55010550609001.

It is an arithmetic number, because the mean of its divisors is an integer number (55010550609001).

Almost surely, 2^{110021101218001} is an apocalyptic number.

It is an amenable number.

110021101218001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110021101218001 is an equidigital number, since it uses as much as digits as its factorization.

110021101218001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 110021101218001 its reverse (100812101120011), we get a palindrome (210833202338012).

The spelling of 110021101218001 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, two hundred eighteen thousand, one".