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221010100122101 is a prime number
BaseRepresentation
bin110010010000000111101100…
…100000100111000111110101
31001222112100200212200100112112
4302100013230200213013311
5212432012141112401401
62102014345514500405
764360311211611533
oct6220075440470765
91058470625610475
10221010100122101
1164469947885524
12209552a3434705
1396422171b2b54
143c80d35871153
151a83ea72253bb
hexc901ec8271f5

221010100122101 has 2 divisors, whose sum is σ = 221010100122102. Its totient is φ = 221010100122100.

The previous prime is 221010100122067. The next prime is 221010100122143. The reversal of 221010100122101 is 101221001010122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170988287910001 + 50021812212100 = 13076249^2 + 7072610^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221010100122101 is a prime.

It is a super-2 number, since 2×2210101001221012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221010120122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505050061050 + 110505050061051.

It is an arithmetic number, because the mean of its divisors is an integer number (110505050061051).

Almost surely, 2221010100122101 is an apocalyptic number.

It is an amenable number.

221010100122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010100122101 is an equidigital number, since it uses as much as digits as its factorization.

221010100122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221010100122101 its reverse (101221001010122), we get a palindrome (322231101132223).

The spelling of 221010100122101 in words is "two hundred twenty-one trillion, ten billion, one hundred million, one hundred twenty-two thousand, one hundred one".