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2022100122121 is a prime number
BaseRepresentation
bin11101011011001110100…
…011110011101000001001
321011022101122010101011121
4131123032203303220021
5231112230112401441
64144535011155241
7266043345305002
oct35331643635011
97138348111147
102022100122121
1170a627891722
12287a912a5b21
131188b6070601
146dc27a541a9
15378ed2d6dd1
hex1d6ce8f3a09

2022100122121 has 2 divisors, whose sum is σ = 2022100122122. Its totient is φ = 2022100122120.

The previous prime is 2022100122089. The next prime is 2022100122149. The reversal of 2022100122121 is 1212210012202.

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., 2003175992896 + 18924129225 = 1415336^2 + 137565^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022100122121 - 25 = 2022100122089 is a prime.

It is a super-2 number, since 2×20221001221212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022100122095 and 2022100122104.

It is not a weakly prime, because it can be changed into another prime (2022100182121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011050061060 + 1011050061061.

It is an arithmetic number, because the mean of its divisors is an integer number (1011050061061).

Almost surely, 22022100122121 is an apocalyptic number.

It is an amenable number.

2022100122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022100122121 is an equidigital number, since it uses as much as digits as its factorization.

2022100122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022100122121 its reverse (1212210012202), we get a palindrome (3234310134323).

The spelling of 2022100122121 in words is "two trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-one".