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100401221 is a prime number
BaseRepresentation
bin1011111110000…
…00000001000101
320222220220120202
411333000001011
5201200314341
613543540245
72326252634
oct577000105
9228826522
10100401221
1151745a18
122975a685
1317a5430b
14d49751b
158c3379b
hex5fc0045

100401221 has 2 divisors, whose sum is σ = 100401222. Its totient is φ = 100401220.

The previous prime is 100401193. The next prime is 100401227. The reversal of 100401221 is 122104001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98109025 + 2292196 = 9905^2 + 1514^2 .

It is an emirp because it is prime and its reverse (122104001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100401221 - 210 = 100400197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100401227) 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, 50200610 + 50200611.

It is an arithmetic number, because the mean of its divisors is an integer number (50200611).

Almost surely, 2100401221 is an apocalyptic number.

It is an amenable number.

100401221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100401221 is an equidigital number, since it uses as much as digits as its factorization.

100401221 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.

The square root of 100401221 is about 10020.0409679801. The cubic root of 100401221 is about 464.7788226280.

Adding to 100401221 its reverse (122104001), we get a palindrome (222505222).

The spelling of 100401221 in words is "one hundred million, four hundred one thousand, two hundred twenty-one".