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10102201117 is a prime number
BaseRepresentation
bin10010110100010001…
…10101101100011101
3222002001001222200221
421122020311230131
5131142130413432
64350233121341
7505225202251
oct113210655435
928061058627
1010102201117
11431447a248
121b5b259251
13c4cc21ac8
146bb968261
153e1d49b97
hex25a235b1d

10102201117 has 2 divisors, whose sum is σ = 10102201118. Its totient is φ = 10102201116.

The previous prime is 10102201079. The next prime is 10102201163. The reversal of 10102201117 is 71110220101.

10102201117 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., 7703748441 + 2398452676 = 87771^2 + 48974^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102201117 - 219 = 10101676829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102201117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102201177) 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, 5051100558 + 5051100559.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100559).

Almost surely, 210102201117 is an apocalyptic number.

It is an amenable number.

10102201117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102201117 is an equidigital number, since it uses as much as digits as its factorization.

10102201117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10102201117 its reverse (71110220101), we get a palindrome (81212421218).

The spelling of 10102201117 in words is "ten billion, one hundred two million, two hundred one thousand, one hundred seventeen".