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2210101212013 is a prime number
BaseRepresentation
bin100000001010010100010…
…011000011001101101101
321211021122202100021100221
4200022110103003031231
5242202241402241023
64411150111051341
7315450240224542
oct40122423031555
97737582307327
102210101212013
11782331576092
122b83ba510b51
1313054751a076
1478d8031cbc9
153c75315385d
hex202944c336d

2210101212013 has 2 divisors, whose sum is σ = 2210101212014. Its totient is φ = 2210101212012.

The previous prime is 2210101211977. The next prime is 2210101212023. The reversal of 2210101212013 is 3102121010122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1791520679529 + 418580532484 = 1338477^2 + 646978^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210101212013 - 29 = 2210101211501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210101212023) 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, 1105050606006 + 1105050606007.

It is an arithmetic number, because the mean of its divisors is an integer number (1105050606007).

Almost surely, 22210101212013 is an apocalyptic number.

It is an amenable number.

2210101212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210101212013 is an equidigital number, since it uses as much as digits as its factorization.

2210101212013 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 2210101212013 its reverse (3102121010122), we get a palindrome (5312222222135).

The spelling of 2210101212013 in words is "two trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, thirteen".