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12220120122101 is a prime number
BaseRepresentation
bin1011000111010011011111…
…1010110100001011110101
31121021020021011220220002022
42301310313322310023311
53100203301222401401
641553502400122525
72400605653123433
oct261646772641365
947236234826068
1012220120122101
11399158425a591
121454411606445
136a8477254048
14303657cd3d53
15162d1793c71b
hexb1d37eb42f5

12220120122101 has 2 divisors, whose sum is σ = 12220120122102. Its totient is φ = 12220120122100.

The previous prime is 12220120122059. The next prime is 12220120122103. The reversal of 12220120122101 is 10122102102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9149862715876 + 3070257406225 = 3024874^2 + 1752215^2 .

It is an emirp because it is prime and its reverse (10122102102221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12220120122101 - 222 = 12220115927797 is a prime.

Together with 12220120122103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12220120122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220120122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110060061050 + 6110060061051.

It is an arithmetic number, because the mean of its divisors is an integer number (6110060061051).

Almost surely, 212220120122101 is an apocalyptic number.

It is an amenable number.

12220120122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220120122101 is an equidigital number, since it uses as much as digits as its factorization.

12220120122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12220120122101 its reverse (10122102102221), we get a palindrome (22342222224322).

The spelling of 12220120122101 in words is "twelve trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".