Search a number
-
+
1001110021201 is a prime number
BaseRepresentation
bin11101001000101101100…
…11101010010001010001
310112201001002010100022101
432210112303222101101
5112400233131134301
62043523102040401
7132220303530313
oct16442663522121
93481032110271
101001110021201
11356628565294
12142031879101
1373534247914
143664da337b3
151b093e2b701
hexe916cea451

1001110021201 has 2 divisors, whose sum is σ = 1001110021202. Its totient is φ = 1001110021200.

The previous prime is 1001110021183. The next prime is 1001110021213. The reversal of 1001110021201 is 1021200111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 544350315601 + 456759705600 = 737801^2 + 675840^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001110021201 - 211 = 1001110019153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001110022201) 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, 500555010600 + 500555010601.

It is an arithmetic number, because the mean of its divisors is an integer number (500555010601).

Almost surely, 21001110021201 is an apocalyptic number.

It is an amenable number.

1001110021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110021201 is an equidigital number, since it uses as much as digits as its factorization.

1001110021201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001110021201 its reverse (1021200111001), we get a palindrome (2022310132202).

The spelling of 1001110021201 in words is "one trillion, one billion, one hundred ten million, twenty-one thousand, two hundred one".