Search a number
-
+
10022202101 is a prime number
BaseRepresentation
bin10010101010101111…
…01010101011110101
3221212110112121200102
421111113222223311
5131011140431401
64334254323445
7503234212052
oct112527525365
927773477612
1010022202101
1142832a985a
121b384b9585
13c39492002
146b10a2029
153d9ce656b
hex2555eaaf5

10022202101 has 2 divisors, whose sum is σ = 10022202102. Its totient is φ = 10022202100.

The previous prime is 10022202089. The next prime is 10022202103. The reversal of 10022202101 is 10120222001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7665002500 + 2357199601 = 87550^2 + 48551^2 .

It is an emirp because it is prime and its reverse (10120222001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022202101 is a prime.

Together with 10022202103, 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 (10022202103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011101050 + 5011101051.

It is an arithmetic number, because the mean of its divisors is an integer number (5011101051).

Almost surely, 210022202101 is an apocalyptic number.

It is an amenable number.

10022202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022202101 is an equidigital number, since it uses as much as digits as its factorization.

10022202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022202101 its reverse (10120222001), we get a palindrome (20142424102).

The spelling of 10022202101 in words is "ten billion, twenty-two million, two hundred two thousand, one hundred one".