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12211211012201 is a prime number
BaseRepresentation
bin1011000110110010010011…
…1001010000100001101001
31121020101021021212012211222
42301230210321100201221
53100032030004342301
641545430343031425
72400142123003205
oct261544471204151
947211237765758
1012211211012201
1139888222a8443
121452745a3b575
136a7687577b96
143030509bbb05
1516299571631b
hexb1b24e50869

12211211012201 has 2 divisors, whose sum is σ = 12211211012202. Its totient is φ = 12211211012200.

The previous prime is 12211211012093. The next prime is 12211211012233. The reversal of 12211211012201 is 10221011211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10034925162025 + 2176285850176 = 3167795^2 + 1475224^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211211012201 - 226 = 12211143903337 is a prime.

It is a super-2 number, since 2×122112110122012 (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 12211211012201.

It is not a weakly prime, because it can be changed into another prime (12211211012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105605506100 + 6105605506101.

It is an arithmetic number, because the mean of its divisors is an integer number (6105605506101).

Almost surely, 212211211012201 is an apocalyptic number.

It is an amenable number.

12211211012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211211012201 is an equidigital number, since it uses as much as digits as its factorization.

12211211012201 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 17.

Adding to 12211211012201 its reverse (10221011211221), we get a palindrome (22432222223422).

It can be divided in two parts, 1221121 and 1012201, that added together give a palindrome (2233322).

The spelling of 12211211012201 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, twelve thousand, two hundred one".