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2100221 is a prime number
BaseRepresentation
bin1000000000101111111101
310221200221222
420000233331
51014201341
6113003125
723565044
oct10005775
93850858
102100221
111204a22
128534a5
13586c46
143c955b
152b744b
hex200bfd

2100221 has 2 divisors, whose sum is σ = 2100222. Its totient is φ = 2100220.

The previous prime is 2100193. The next prime is 2100227. The reversal of 2100221 is 1220012.

2100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1836025 + 264196 = 1355^2 + 514^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100221 - 210 = 2099197 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2100199 and 2100208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050110 + 1050111.

It is an arithmetic number, because the mean of its divisors is an integer number (1050111).

22100221 is an apocalyptic number.

It is an amenable number.

2100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100221 is an equidigital number, since it uses as much as digits as its factorization.

2100221 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 8.

The square root of 2100221 is about 1449.2139248572. The cubic root of 2100221 is about 128.0624085316.

Adding to 2100221 its reverse (1220012), we get a palindrome (3320233).

The spelling of 2100221 in words is "two million, one hundred thousand, two hundred twenty-one".