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10202002121 is a prime number
BaseRepresentation
bin10011000000001011…
…00011001011001001
3222022222212101221102
421200011203023021
5131343203031441
64404200151145
7510546405263
oct114005431311
928288771842
1010202002121
114365845213
121b887684b5
13c677c5b5c
146cad06b33
153ea9b069b
hex2601632c9

10202002121 has 2 divisors, whose sum is σ = 10202002122. Its totient is φ = 10202002120.

The previous prime is 10202002117. The next prime is 10202002123. The reversal of 10202002121 is 12120020201.

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., 7505796496 + 2696205625 = 86636^2 + 51925^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202002121 - 22 = 10202002117 is a prime.

Together with 10202002123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10202002123) 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, 5101001060 + 5101001061.

It is an arithmetic number, because the mean of its divisors is an integer number (5101001061).

Almost surely, 210202002121 is an apocalyptic number.

It is an amenable number.

10202002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202002121 is an equidigital number, since it uses as much as digits as its factorization.

10202002121 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 10202002121 its reverse (12120020201), we get a palindrome (22322022322).

The spelling of 10202002121 in words is "ten billion, two hundred two million, two thousand, one hundred twenty-one".