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12100200210101 is a prime number
BaseRepresentation
bin1011000000010100110000…
…1000101001111010110101
31120211202201202110011200002
42300011030020221322311
53041222202223210401
641422431044201045
72356132145521643
oct260051410517265
946752652404602
1012100200210101
1139457366267a3
121435124699185
1369a07582b133
142db91d478193
1515eb49a06a6b
hexb014c229eb5

12100200210101 has 2 divisors, whose sum is σ = 12100200210102. Its totient is φ = 12100200210100.

The previous prime is 12100200210001. The next prime is 12100200210139. The reversal of 12100200210101 is 10101200200121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12083451967876 + 16748242225 = 3476126^2 + 129415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100200210101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100200210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050100105050 + 6050100105051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050100105051).

Almost surely, 212100200210101 is an apocalyptic number.

It is an amenable number.

12100200210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100200210101 is an equidigital number, since it uses as much as digits as its factorization.

12100200210101 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 12100200210101 its reverse (10101200200121), we get a palindrome (22201400410222).

The spelling of 12100200210101 in words is "twelve trillion, one hundred billion, two hundred million, two hundred ten thousand, one hundred one".