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10121304121 is a prime number
BaseRepresentation
bin10010110110100011…
…01101100000111001
3222010101000112002121
421123101231200321
5131212023212441
64352154401241
7505546444165
oct113321554071
928111015077
1010121304121
114324237655
121b65730221
13c53b7cb66
146c02dbca5
153e386edd1
hex25b46d839

10121304121 has 2 divisors, whose sum is σ = 10121304122. Its totient is φ = 10121304120.

The previous prime is 10121304097. The next prime is 10121304133. The reversal of 10121304121 is 12140312101.

10121304121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9361530025 + 759774096 = 96755^2 + 27564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121304121 - 225 = 10087749689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121304095 and 10121304104.

It is not a weakly prime, because it can be changed into another prime (10121304821) 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, 5060652060 + 5060652061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060652061).

Almost surely, 210121304121 is an apocalyptic number.

It is an amenable number.

10121304121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121304121 is an equidigital number, since it uses as much as digits as its factorization.

10121304121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121304121 its reverse (12140312101), we get a palindrome (22261616222).

The spelling of 10121304121 in words is "ten billion, one hundred twenty-one million, three hundred four thousand, one hundred twenty-one".