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10120122121 is a prime number
BaseRepresentation
bin10010110110011010…
…01100111100001001
3222010021210110200211
421123031030330021
5131211222401441
64352113201121
7505533422134
oct113315147411
928107713624
1010120122121
1143235aa59a
121b652601a1
13c53857b55
146c00b121b
153e36d9a81
hex25b34cf09

10120122121 has 2 divisors, whose sum is σ = 10120122122. Its totient is φ = 10120122120.

The previous prime is 10120122119. The next prime is 10120122163. The reversal of 10120122121 is 12122102101.

10120122121 is digitally balanced in base 2 and base 3, because in such bases 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., 5175219721 + 4944902400 = 71939^2 + 70320^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120122121 - 21 = 10120122119 is a prime.

Together with 10120122119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10120122191) 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, 5060061060 + 5060061061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060061061).

Almost surely, 210120122121 is an apocalyptic number.

It is an amenable number.

10120122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120122121 is an equidigital number, since it uses as much as digits as its factorization.

10120122121 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 13.

Adding to 10120122121 its reverse (12122102101), we get a palindrome (22242224222).

The spelling of 10120122121 in words is "ten billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".