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10122004201 is a prime number
BaseRepresentation
bin10010110110101000…
…11000011011101001
3222010102100002102111
421123110120123221
5131212213113301
64352221402321
7505555421221
oct113324303351
928112302374
1010122004201
114324675631
121b65a093a1
13c540666ca
146c0441081
153e395c551
hex25b5186e9

10122004201 has 2 divisors, whose sum is σ = 10122004202. Its totient is φ = 10122004200.

The previous prime is 10122004157. The next prime is 10122004213. The reversal of 10122004201 is 10240022101.

It is a happy number.

10122004201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6127132176 + 3994872025 = 78276^2 + 63205^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122004201 - 217 = 10121873129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061002100 + 5061002101.

It is an arithmetic number, because the mean of its divisors is an integer number (5061002101).

Almost surely, 210122004201 is an apocalyptic number.

It is an amenable number.

10122004201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122004201 is an equidigital number, since it uses as much as digits as its factorization.

10122004201 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 13.

Adding to 10122004201 its reverse (10240022101), we get a palindrome (20362026302).

The spelling of 10122004201 in words is "ten billion, one hundred twenty-two million, four thousand, two hundred one".