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102112000121 is a prime number
BaseRepresentation
bin101111100011001011…
…0010111100001111001
3100202120100202001202102
41133012112113201321
53133111133000441
6114524250313145
710243300452155
oct1370626274171
9322510661672
10102112000121
113a33a62004a
12179591287b5
13982423c661
144d29752065
1529c987269b
hex17c6597879

102112000121 has 2 divisors, whose sum is σ = 102112000122. Its totient is φ = 102112000120.

The previous prime is 102112000103. The next prime is 102112000183. The reversal of 102112000121 is 121000211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72299143225 + 29812856896 = 268885^2 + 172664^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112000121 - 230 = 101038258297 is a prime.

It is a super-3 number, since 3×1021120001213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102112002121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056000060 + 51056000061.

It is an arithmetic number, because the mean of its divisors is an integer number (51056000061).

Almost surely, 2102112000121 is an apocalyptic number.

It is an amenable number.

102112000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112000121 is an equidigital number, since it uses as much as digits as its factorization.

102112000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102112000121 its reverse (121000211201), we get a palindrome (223112211322).

The spelling of 102112000121 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.