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12220010100101 is a prime number
BaseRepresentation
bin1011000111010011000101…
…0111000111010110000101
31121021012222111220012021102
42301310301113013112011
53100203040041200401
641553443430025445
72400603146010536
oct261646127072605
947235874805242
1012220010100101
113991528143411
1214543a07a8285
136a845a51197b
1430364745468d
15162d0ce5856b
hexb1d315c7585

12220010100101 has 2 divisors, whose sum is σ = 12220010100102. Its totient is φ = 12220010100100.

The previous prime is 12220010100091. The next prime is 12220010100131. The reversal of 12220010100101 is 10100101002221.

12220010100101 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., 12219561931201 + 448168900 = 3495649^2 + 21170^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220010100101 - 26 = 12220010100037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220010100131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110005050050 + 6110005050051.

It is an arithmetic number, because the mean of its divisors is an integer number (6110005050051).

Almost surely, 212220010100101 is an apocalyptic number.

It is an amenable number.

12220010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220010100101 is an equidigital number, since it uses as much as digits as its factorization.

12220010100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12220010100101 its reverse (10100101002221), we get a palindrome (22320111102322).

The spelling of 12220010100101 in words is "twelve trillion, two hundred twenty billion, ten million, one hundred thousand, one hundred one".