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2022100110101 is a prime number
BaseRepresentation
bin11101011011001110100…
…011110000101100010101
321011022101122002202200102
4131123032203300230111
5231112230112010401
64144535011023445
7266043345224651
oct35331643605425
97138348082612
102022100110101
1170a627883695
12287a9129ab85
131188b6067cb6
146dc27a4da61
15378ed2d356b
hex1d6ce8f0b15

2022100110101 has 2 divisors, whose sum is σ = 2022100110102. Its totient is φ = 2022100110100.

The previous prime is 2022100110091. The next prime is 2022100110127. The reversal of 2022100110101 is 1010110012202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1932475318225 + 89624791876 = 1390135^2 + 299374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022100110101 - 210 = 2022100109077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022100110181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011050055050 + 1011050055051.

It is an arithmetic number, because the mean of its divisors is an integer number (1011050055051).

Almost surely, 22022100110101 is an apocalyptic number.

It is an amenable number.

2022100110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022100110101 is an equidigital number, since it uses as much as digits as its factorization.

2022100110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2022100110101 its reverse (1010110012202), we get a palindrome (3032210122303).

The spelling of 2022100110101 in words is "two trillion, twenty-two billion, one hundred million, one hundred ten thousand, one hundred one".