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10102002221 is a prime number
BaseRepresentation
bin10010110100010000…
…00101001000101101
3222002000200212212102
421122020011020231
5131142103032341
64350224544445
7505223413343
oct113210051055
928060625772
1010102002221
114314353873
121b5b182125
13c4cb8240c
146bb915993
153e1d0ac9b
hex25a20522d

10102002221 has 2 divisors, whose sum is σ = 10102002222. Its totient is φ = 10102002220.

The previous prime is 10102002179. The next prime is 10102002223. The reversal of 10102002221 is 12220020101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8411641225 + 1690360996 = 91715^2 + 41114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102002221 is a prime.

Together with 10102002223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051001110 + 5051001111.

It is an arithmetic number, because the mean of its divisors is an integer number (5051001111).

Almost surely, 210102002221 is an apocalyptic number.

It is an amenable number.

10102002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102002221 is an equidigital number, since it uses as much as digits as its factorization.

10102002221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102002221 its reverse (12220020101), we get a palindrome (22322022322).

The spelling of 10102002221 in words is "ten billion, one hundred two million, two thousand, two hundred twenty-one".