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221201010101 is a prime number
BaseRepresentation
bin1100111000000010011…
…0111000110110110101
3210010221212201120212202
43032000212320312311
512111004424310401
6245341321154245
721660365364041
oct3160046706665
9703855646782
10221201010101
11858a1226955
1236a5392b985
1317b22782c76
14a9c5abb021
155b4987a06b
hex33809b8db5

221201010101 has 2 divisors, whose sum is σ = 221201010102. Its totient is φ = 221201010100.

The previous prime is 221201010097. The next prime is 221201010139. The reversal of 221201010101 is 101010102122.

221201010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111375712900 + 109825297201 = 333730^2 + 331399^2 .

It is a cyclic number.

It is not a de Polignac number, because 221201010101 - 22 = 221201010097 is a prime.

221201010101 is a modest number, since divided by 1010101 gives 2212 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221201040101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600505050 + 110600505051.

It is an arithmetic number, because the mean of its divisors is an integer number (110600505051).

Almost surely, 2221201010101 is an apocalyptic number.

It is an amenable number.

221201010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221201010101 is an equidigital number, since it uses as much as digits as its factorization.

221201010101 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.

Adding to 221201010101 its reverse (101010102122), we get a palindrome (322211112223).

The spelling of 221201010101 in words is "two hundred twenty-one billion, two hundred one million, ten thousand, one hundred one".