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10223010101 is a prime number
BaseRepresentation
bin10011000010101011…
…01100000100110101
3222101110101201110202
421201111230010311
5131414042310401
64410230330245
7511223103113
oct114125540465
928343351422
1010223010101
114376693887
121b937b9985
13c6bc70005
146cda14ab3
153ec76006b
hex26156c135

10223010101 has 2 divisors, whose sum is σ = 10223010102. Its totient is φ = 10223010100.

The previous prime is 10223010071. The next prime is 10223010107. The reversal of 10223010101 is 10101032201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8509878001 + 1713132100 = 92249^2 + 41390^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223010101 - 210 = 10223009077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111505050 + 5111505051.

It is an arithmetic number, because the mean of its divisors is an integer number (5111505051).

Almost surely, 210223010101 is an apocalyptic number.

It is an amenable number.

10223010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223010101 is an equidigital number, since it uses as much as digits as its factorization.

10223010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10223010101 its reverse (10101032201), we get a palindrome (20324042302).

The spelling of 10223010101 in words is "ten billion, two hundred twenty-three million, ten thousand, one hundred one".