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12122000220101 is a prime number
BaseRepresentation
bin1011000001100101111110…
…0001000101111111000101
31120220212000001000102102212
42300121133201011333011
53042101324024020401
641440434154113205
72360533315534262
oct260313741057705
946825001012385
1012122000220101
113953a03116992
1214393a941b805
1369c13b0ca535
142dc9ca83a269
151604c37cddbb
hexb065f845fc5

12122000220101 has 2 divisors, whose sum is σ = 12122000220102. Its totient is φ = 12122000220100.

The previous prime is 12122000220097. The next prime is 12122000220107. The reversal of 12122000220101 is 10102200022121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6720791817601 + 5401208402500 = 2592449^2 + 2324050^2 .

It is an emirp because it is prime and its reverse (10102200022121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12122000220101 - 22 = 12122000220097 is a prime.

It is a super-2 number, since 2×121220002201012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122000220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061000110050 + 6061000110051.

It is an arithmetic number, because the mean of its divisors is an integer number (6061000110051).

Almost surely, 212122000220101 is an apocalyptic number.

It is an amenable number.

12122000220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122000220101 is an equidigital number, since it uses as much as digits as its factorization.

12122000220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122000220101 its reverse (10102200022121), we get a palindrome (22224200242222).

The spelling of 12122000220101 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty thousand, one hundred one".