Search a number
-
+
10102201201 is a prime number
BaseRepresentation
bin10010110100010001…
…10101101101110001
3222002001001222211001
421122020311231301
5131142130414301
64350233122001
7505225202431
oct113210655561
928061058731
1010102201201
11431447a314
121b5b259301
13c4cc21b61
146bb9682c1
153e1d49c01
hex25a235b71

10102201201 has 2 divisors, whose sum is σ = 10102201202. Its totient is φ = 10102201200.

The previous prime is 10102201199. The next prime is 10102201223. The reversal of 10102201201 is 10210220101.

10102201201 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., 8551810576 + 1550390625 = 92476^2 + 39375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102201201 - 21 = 10102201199 is a prime.

Together with 10102201199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10102208201) 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, 5051100600 + 5051100601.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100601).

Almost surely, 210102201201 is an apocalyptic number.

It is an amenable number.

10102201201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102201201 is an equidigital number, since it uses as much as digits as its factorization.

10102201201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102201201 its reverse (10210220101), we get a palindrome (20312421302).

The spelling of 10102201201 in words is "ten billion, one hundred two million, two hundred one thousand, two hundred one".