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110221001211301 is a prime number
BaseRepresentation
bin11001000011111011010011…
…100111111011110110100101
3112110021000200002022112120021
4121003323103213323312211
5103421330102302230201
61030230455014435141
732134130106025051
oct3103732347736645
9473230602275507
10110221001211301
1132135511801272
121044169a362ab1
134966a4653a886
141d30a2128cc61
15cb217b772ea1
hex643ed39fbda5

110221001211301 has 2 divisors, whose sum is σ = 110221001211302. Its totient is φ = 110221001211300.

The previous prime is 110221001211283. The next prime is 110221001211319. The reversal of 110221001211301 is 103112100122011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (110221001211283) and next prime (110221001211319).

It can be written as a sum of positive squares in only one way, i.e., 102364332360676 + 7856668850625 = 10117526^2 + 2802975^2 .

It is an emirp because it is prime and its reverse (103112100122011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110221001211301 is a prime.

It is a super-2 number, since 2×1102210012113012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110221001211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55110500605650 + 55110500605651.

It is an arithmetic number, because the mean of its divisors is an integer number (55110500605651).

Almost surely, 2110221001211301 is an apocalyptic number.

It is an amenable number.

110221001211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221001211301 is an equidigital number, since it uses as much as digits as its factorization.

110221001211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 110221001211301 its reverse (103112100122011), we get a palindrome (213333101333312).

The spelling of 110221001211301 in words is "one hundred ten trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, three hundred one".