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10122133201 is a prime number
BaseRepresentation
bin10010110110101001…
…10111111011010001
3222010102120122101021
421123110313323101
5131212231230301
64352224235441
7505556466265
oct113324677321
928112518337
1010122133201
114324753544
121b65a6bb81
13c540b033b
146c04760a5
153e39858a1
hex25b537ed1

10122133201 has 2 divisors, whose sum is σ = 10122133202. Its totient is φ = 10122133200.

The previous prime is 10122133199. The next prime is 10122133223. The reversal of 10122133201 is 10233122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8723373201 + 1398760000 = 93399^2 + 37400^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122133201 - 21 = 10122133199 is a prime.

Together with 10122133199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10122133261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061066600 + 5061066601.

It is an arithmetic number, because the mean of its divisors is an integer number (5061066601).

Almost surely, 210122133201 is an apocalyptic number.

It is an amenable number.

10122133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122133201 is an equidigital number, since it uses as much as digits as its factorization.

10122133201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10122133201 its reverse (10233122101), we get a palindrome (20355255302).

The spelling of 10122133201 in words is "ten billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred one".