Search a number
-
+
10203121011101 is a prime number
BaseRepresentation
bin1001010001111001100101…
…1001110100100110011101
31100010102001001020201200112
42110132121121310212131
52314131442434323401
633411125445135405
72102102564426114
oct224363131644635
940112031221615
1010203121011101
1132841348a8037
1211895246ba565
135901c4c4b115
14273b95916c7b
1512a6173b13bb
hex9479967499d

10203121011101 has 2 divisors, whose sum is σ = 10203121011102. Its totient is φ = 10203121011100.

The previous prime is 10203121011073. The next prime is 10203121011103. The reversal of 10203121011101 is 10111012130201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9808453104025 + 394667907076 = 3131845^2 + 628226^2 .

It is a cyclic number.

It is not a de Polignac number, because 10203121011101 - 234 = 10185941141917 is a prime.

Together with 10203121011103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10203121011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101560505550 + 5101560505551.

It is an arithmetic number, because the mean of its divisors is an integer number (5101560505551).

Almost surely, 210203121011101 is an apocalyptic number.

It is an amenable number.

10203121011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10203121011101 is an equidigital number, since it uses as much as digits as its factorization.

10203121011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10203121011101 its reverse (10111012130201), we get a palindrome (20314133141302).

The spelling of 10203121011101 in words is "ten trillion, two hundred three billion, one hundred twenty-one million, eleven thousand, one hundred one".