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110100220121 is a prime number
BaseRepresentation
bin110011010001001111…
…1000000100011011001
3101112012001222200112102
41212202133000203121
53300441124020441
6122325045453145
710645246300253
oct1464237004331
9345161880472
10110100220121
1142769781a61
12194084111b5
13a4c81b9958
145486630cd3
152ce5ce269b
hex19a27c08d9

110100220121 has 2 divisors, whose sum is σ = 110100220122. Its totient is φ = 110100220120.

The previous prime is 110100220073. The next prime is 110100220123. The reversal of 110100220121 is 121022001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101546744896 + 8553475225 = 318664^2 + 92485^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100220121 - 26 = 110100220057 is a prime.

Together with 110100220123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110100220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050110060 + 55050110061.

It is an arithmetic number, because the mean of its divisors is an integer number (55050110061).

Almost surely, 2110100220121 is an apocalyptic number.

It is an amenable number.

110100220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100220121 is an equidigital number, since it uses as much as digits as its factorization.

110100220121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 110100220121 its reverse (121022001011), we get a palindrome (231122221132).

The spelling of 110100220121 in words is "one hundred ten billion, one hundred million, two hundred twenty thousand, one hundred twenty-one".