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110002220101 is a prime number
BaseRepresentation
bin110011001110010100…
…1001010110001000101
3101111221020120202210001
41212130221022301011
53300241032020401
6122311225201301
710642646305024
oct1463451126105
9344836522701
10110002220101
1142719427104
121939b630231
13a4b0ac6587
1454776008bb
152cdc3d5601
hex199ca4ac45

110002220101 has 2 divisors, whose sum is σ = 110002220102. Its totient is φ = 110002220100.

The previous prime is 110002219967. The next prime is 110002220113. The reversal of 110002220101 is 101022200011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105122499076 + 4879721025 = 324226^2 + 69855^2 .

It is a cyclic number.

It is not a de Polignac number, because 110002220101 - 231 = 107854736453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110002220201) 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, 55001110050 + 55001110051.

It is an arithmetic number, because the mean of its divisors is an integer number (55001110051).

Almost surely, 2110002220101 is an apocalyptic number.

It is an amenable number.

110002220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002220101 is an equidigital number, since it uses as much as digits as its factorization.

110002220101 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 10.

Adding to 110002220101 its reverse (101022200011), we get a palindrome (211024420112).

The spelling of 110002220101 in words is "one hundred ten billion, two million, two hundred twenty thousand, one hundred one".