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23121222101 is a prime number
BaseRepresentation
bin10101100010001000…
…011101100111010101
32012200100122210001022
4111202020131213111
5334323013101401
614342144010525
71445652100535
oct254210354725
965610583038
1023121222101
11989536641a
124593300a45
132246223413
141194a454c5
15904ca771b
hex56221d9d5

23121222101 has 2 divisors, whose sum is σ = 23121222102. Its totient is φ = 23121222100.

The previous prime is 23121222067. The next prime is 23121222161. The reversal of 23121222101 is 10122212132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23040204100 + 81018001 = 151790^2 + 9001^2 .

It is a cyclic number.

It is not a de Polignac number, because 23121222101 - 218 = 23120959957 is a prime.

It is a super-2 number, since 2×231212221012 (a number of 22 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 23121222101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23121222161) 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, 11560611050 + 11560611051.

It is an arithmetic number, because the mean of its divisors is an integer number (11560611051).

Almost surely, 223121222101 is an apocalyptic number.

It is an amenable number.

23121222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23121222101 is an equidigital number, since it uses as much as digits as its factorization.

23121222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 23121222101 its reverse (10122212132), we get a palindrome (33243434233).

The spelling of 23121222101 in words is "twenty-three billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred one".