Search a number
-
+
12102022110001 is a prime number
BaseRepresentation
bin1011000000011011100010…
…1110101001101100110001
31120211221102201200021111011
42300012320232221230301
53041234420130010001
641423331525550521
72356225250440315
oct260067056515461
946757381607434
1012102022110001
113946490a8909a
121435552875441
1369a2a6118305
142dba53411b45
1515ec04938d51
hexb01b8ba9b31

12102022110001 has 2 divisors, whose sum is σ = 12102022110002. Its totient is φ = 12102022110000.

The previous prime is 12102022109987. The next prime is 12102022110007. The reversal of 12102022110001 is 10001122020121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6932947036401 + 5169075073600 = 2633049^2 + 2273560^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102022110001 - 213 = 12102022101809 is a prime.

It is a super-2 number, since 2×121020221100012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12102022110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051011055000 + 6051011055001.

It is an arithmetic number, because the mean of its divisors is an integer number (6051011055001).

Almost surely, 212102022110001 is an apocalyptic number.

It is an amenable number.

12102022110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102022110001 is an equidigital number, since it uses as much as digits as its factorization.

12102022110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102022110001 its reverse (10001122020121), we get a palindrome (22103144130122).

The spelling of 12102022110001 in words is "twelve trillion, one hundred two billion, twenty-two million, one hundred ten thousand, one".