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10040100221 is a prime number
BaseRepresentation
bin10010101100110111…
…11100010101111101
3221220201012221021202
421112123330111331
5131030231201341
64340134105245
7503542305134
oct112633742575
927821187252
1010040100221
114292413998
121b424ab225
13c400ba808
146b360091b
153db67e79b
hex2566fc57d

10040100221 has 2 divisors, whose sum is σ = 10040100222. Its totient is φ = 10040100220.

The previous prime is 10040100181. The next prime is 10040100253. The reversal of 10040100221 is 12200104001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7057848121 + 2982252100 = 84011^2 + 54610^2 .

It is an emirp because it is prime and its reverse (12200104001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10040100221 - 26 = 10040100157 is a prime.

It is a super-2 number, since 2×100401002212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10040100271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020050110 + 5020050111.

It is an arithmetic number, because the mean of its divisors is an integer number (5020050111).

Almost surely, 210040100221 is an apocalyptic number.

It is an amenable number.

10040100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10040100221 is an equidigital number, since it uses as much as digits as its factorization.

10040100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10040100221 its reverse (12200104001), we get a palindrome (22240204222).

The spelling of 10040100221 in words is "ten billion, forty million, one hundred thousand, two hundred twenty-one".