Search a number
-
+
1012000101221 is a prime number
BaseRepresentation
bin11101011100111111110…
…10000001001101100101
310120202011000201201200102
432232133322001031211
5113040034011214341
62052523442153445
7133054206633614
oct16563772011545
93522130651612
101012000101221
1136020674661a
12144170952885
137457b467455
1436da408d87b
151b4d0006c9b
hexeb9fe81365

1012000101221 has 2 divisors, whose sum is σ = 1012000101222. Its totient is φ = 1012000101220.

The previous prime is 1012000101191. The next prime is 1012000101227. The reversal of 1012000101221 is 1221010002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881137038721 + 130863062500 = 938689^2 + 361750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012000101221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012000101227) 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, 506000050610 + 506000050611.

It is an arithmetic number, because the mean of its divisors is an integer number (506000050611).

Almost surely, 21012000101221 is an apocalyptic number.

It is an amenable number.

1012000101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012000101221 is an equidigital number, since it uses as much as digits as its factorization.

1012000101221 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 1012000101221 its reverse (1221010002101), we get a palindrome (2233010103322).

The spelling of 1012000101221 in words is "one trillion, twelve billion, one hundred one thousand, two hundred twenty-one".