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101211221 is a prime number
BaseRepresentation
bin1100000100001…
…01110001010101
321001110001200202
412002011301111
5201402224341
614013150245
72336165306
oct602056125
9231401622
10101211221
1152149541
1229a8b385
1317c78bc7
14d6287ad
158d4379b
hex6085c55

101211221 has 2 divisors, whose sum is σ = 101211222. Its totient is φ = 101211220.

The previous prime is 101211211. The next prime is 101211241. The reversal of 101211221 is 122112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97732996 + 3478225 = 9886^2 + 1865^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211221 - 222 = 97016917 is a prime.

It is a super-2 number, since 2×1012112212 = 20487422512621682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211211) 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, 50605610 + 50605611.

It is an arithmetic number, because the mean of its divisors is an integer number (50605611).

Almost surely, 2101211221 is an apocalyptic number.

It is an amenable number.

101211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211221 is an equidigital number, since it uses as much as digits as its factorization.

101211221 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 11.

The square root of 101211221 is about 10060.3787702054. The cubic root of 101211221 is about 466.0253644087.

Adding to 101211221 its reverse (122112101), we get a palindrome (223323322).

The spelling of 101211221 in words is "one hundred one million, two hundred eleven thousand, two hundred twenty-one".