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10121100221 is a prime number
BaseRepresentation
bin10010110110100001…
…11011101110111101
3222010100122011101202
421123100323232331
5131212000201341
64352150145245
7505544634551
oct113320735675
928110564352
1010121100221
114324108441
121b65652225
13c53b0b0cb
146c0287861
153e382e79b
hex25b43bbbd

10121100221 has 2 divisors, whose sum is σ = 10121100222. Its totient is φ = 10121100220.

The previous prime is 10121100191. The next prime is 10121100271. The reversal of 10121100221 is 12200112101.

10121100221 is digitally balanced in base 3, 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., 6270897721 + 3850202500 = 79189^2 + 62050^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121100221 - 222 = 10116905917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121100271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060550110 + 5060550111.

It is an arithmetic number, because the mean of its divisors is an integer number (5060550111).

Almost surely, 210121100221 is an apocalyptic number.

It is an amenable number.

10121100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121100221 is an equidigital number, since it uses as much as digits as its factorization.

10121100221 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 11.

Adding to 10121100221 its reverse (12200112101), we get a palindrome (22321212322).

The spelling of 10121100221 in words is "ten billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".