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12222122100103 is a prime number
BaseRepresentation
bin1011000111011010111100…
…1111110000010110000111
31121021102102200222220121201
42301312233033300112013
53100221401224200403
641554433153323331
72401006402504126
oct261665717602607
947242380886551
1012222122100103
113992411328263
12145488bb66547
136a8705c41806
143037a7b45abd
15162dd359121d
hexb1daf3f0587

12222122100103 has 2 divisors, whose sum is σ = 12222122100104. Its totient is φ = 12222122100102.

The previous prime is 12222122100101. The next prime is 12222122100113. The reversal of 12222122100103 is 30100122122221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12222122100103 - 21 = 12222122100101 is a prime.

It is a super-3 number, since 3×122221221001033 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 12222122100101, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222122100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111061050051 + 6111061050052.

It is an arithmetic number, because the mean of its divisors is an integer number (6111061050052).

Almost surely, 212222122100103 is an apocalyptic number.

12222122100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222122100103 is an equidigital number, since it uses as much as digits as its factorization.

12222122100103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12222122100103 its reverse (30100122122221), we get a palindrome (42322244222324).

It can be divided in two parts, 122 and 22122100103, that added together give a square (22122100225 = 1487352).

The spelling of 12222122100103 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred three".