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12120212220101 is a prime number
BaseRepresentation
bin1011000001011111010011…
…1100011010100011000101
31120220200101102120121112122
42300113310330122203011
53042034143312020401
641435540523055325
72360441105016266
oct260276474324305
946820342517478
1012120212220101
113953175909037
121438b8a671545
1369bc1484c47b
142dc89b1a896d
1516041b84621b
hexb05f4f1a8c5

12120212220101 has 2 divisors, whose sum is σ = 12120212220102. Its totient is φ = 12120212220100.

The previous prime is 12120212220097. The next prime is 12120212220113. The reversal of 12120212220101 is 10102221202121.

12120212220101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11910332788225 + 209879431876 = 3451135^2 + 458126^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120212220101 - 22 = 12120212220097 is a prime.

It is a super-2 number, since 2×121202122201012 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12120212220101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120212220131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060106110050 + 6060106110051.

It is an arithmetic number, because the mean of its divisors is an integer number (6060106110051).

Almost surely, 212120212220101 is an apocalyptic number.

It is an amenable number.

12120212220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120212220101 is an equidigital number, since it uses as much as digits as its factorization.

12120212220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12120212220101 its reverse (10102221202121), we get a palindrome (22222433422222).

The spelling of 12120212220101 in words is "twelve trillion, one hundred twenty billion, two hundred twelve million, two hundred twenty thousand, one hundred one".