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110221100200117 is a prime number
BaseRepresentation
bin11001000011111011011001…
…100001100011000010110101
3112110021000220222120200200201
4121003323121201203002311
5103421330303122400432
61030230512512240501
732134132420306144
oct3103733141430265
9473230828520621
10110221100200117
1132135562672005
1210441707540131
134966a60bb903a
141d30a3049975b
15cb21852c7ee7
hex643ed98630b5

110221100200117 has 2 divisors, whose sum is σ = 110221100200118. Its totient is φ = 110221100200116.

The previous prime is 110221100200069. The next prime is 110221100200177. The reversal of 110221100200117 is 711002001122011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87245892983601 + 22975207216516 = 9340551^2 + 4793246^2 .

It is a cyclic number.

It is not a de Polignac number, because 110221100200117 - 27 = 110221100199989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110221100200094 and 110221100200103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110221100200177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55110550100058 + 55110550100059.

It is an arithmetic number, because the mean of its divisors is an integer number (55110550100059).

Almost surely, 2110221100200117 is an apocalyptic number.

It is an amenable number.

110221100200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221100200117 is an equidigital number, since it uses as much as digits as its factorization.

110221100200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 110221100200117 its reverse (711002001122011), we get a palindrome (821223101322128).

The spelling of 110221100200117 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred million, two hundred thousand, one hundred seventeen".