110021121200209 has 2 divisors, whose sum is σ = 110021121200210. Its totient is φ = 110021121200208.

The previous prime is 110021121200189. The next prime is 110021121200227. The reversal of 110021121200209 is 902002121120011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106603973006400 + 3417148193809 = 10324920^2 + 1848553^2 .

It is a cyclic number.

It is not a de Polignac number, because 110021121200209 - 2²³ = 110021112811601 is a prime.

It is a super-2 number, since 2×110021121200209² (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 110021121200209.

It is not a weakly prime, because it can be changed into another prime (110021121203209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55010560600104 + 55010560600105.

It is an arithmetic number, because the mean of its divisors is an integer number (55010560600105).

Almost surely, 2^{110021121200209} is an apocalyptic number.

It is an amenable number.

110021121200209 is a deficient number, since it is larger than the sum of its proper divisors (1).

110021121200209 is an equidigital number, since it uses as much as digits as its factorization.

110021121200209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 110021121200209 in words is "one hundred ten trillion, twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred nine".