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12100200132121 is a prime number
BaseRepresentation
bin1011000000010100110000…
…1000010110111000011001
31120211202201202022012200221
42300011030020112320121
53041222202213211441
641422431042400041
72356132145045413
oct260051410267031
946752652265627
1012100200132121
113945736583152
121435124660021
1369a0758017aa
142db91d4579b3
1515eb499dd8d1
hexb014c216e19

12100200132121 has 2 divisors, whose sum is σ = 12100200132122. Its totient is φ = 12100200132120.

The previous prime is 12100200132109. The next prime is 12100200132133. The reversal of 12100200132121 is 12123100200121.

It is a balanced prime because it is at equal distance from previous prime (12100200132109) and next prime (12100200132133).

It can be written as a sum of positive squares in only one way, i.e., 10346283966096 + 1753916166025 = 3216564^2 + 1324355^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100200132121 - 213 = 12100200123929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100200132095 and 12100200132104.

It is not a weakly prime, because it can be changed into another prime (12100200133121) 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, 6050100066060 + 6050100066061.

It is an arithmetic number, because the mean of its divisors is an integer number (6050100066061).

Almost surely, 212100200132121 is an apocalyptic number.

It is an amenable number.

12100200132121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100200132121 is an equidigital number, since it uses as much as digits as its factorization.

12100200132121 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 12100200132121 its reverse (12123100200121), we get a palindrome (24223300332242).

The spelling of 12100200132121 in words is "twelve trillion, one hundred billion, two hundred million, one hundred thirty-two thousand, one hundred twenty-one".