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12122101002013 is a prime number
BaseRepresentation
bin1011000001100110010110…
…0001100010111100011101
31120220212021001122200020021
42300121211201202330131
53042102030324031023
641440452154152141
72360535651264142
oct260314541427435
946825231580207
1012122101002013
113953a54aa1922
121439417122651
1369c155c55bc2
142dc9d9d923c9
151604cc58a35d
hexb0665862f1d

12122101002013 has 2 divisors, whose sum is σ = 12122101002014. Its totient is φ = 12122101002012.

The previous prime is 12122101002007. The next prime is 12122101002131. The reversal of 12122101002013 is 31020010122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7080697477764 + 5041403524249 = 2660958^2 + 2245307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122101002013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122101002313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061050501006 + 6061050501007.

It is an arithmetic number, because the mean of its divisors is an integer number (6061050501007).

Almost surely, 212122101002013 is an apocalyptic number.

It is an amenable number.

12122101002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122101002013 is an equidigital number, since it uses as much as digits as its factorization.

12122101002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12122101002013 its reverse (31020010122121), we get a palindrome (43142111124134).

The spelling of 12122101002013 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, two thousand, thirteen".