Search a number
-
+
100222112101 is a prime number
BaseRepresentation
bin101110101010110110…
…1000001000101100101
3100120200122120210202211
41131111231001011211
53120223330041401
6114012535403421
710145411616436
oct1352555010545
9316618523684
10100222112101
113955a851221
1217510223571
1395b2839617
144bca75b48d
1529189b0951
hex1755b41165

100222112101 has 2 divisors, whose sum is σ = 100222112102. Its totient is φ = 100222112100.

The previous prime is 100222112093. The next prime is 100222112117. The reversal of 100222112101 is 101211222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94401948001 + 5820164100 = 307249^2 + 76290^2 .

It is an emirp because it is prime and its reverse (101211222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100222112101 - 23 = 100222112093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111056050 + 50111056051.

It is an arithmetic number, because the mean of its divisors is an integer number (50111056051).

Almost surely, 2100222112101 is an apocalyptic number.

It is an amenable number.

100222112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222112101 is an equidigital number, since it uses as much as digits as its factorization.

100222112101 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 13.

Adding to 100222112101 its reverse (101211222001), we get a palindrome (201433334102).

The spelling of 100222112101 in words is "one hundred billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".