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20101012222301 is a prime number
BaseRepresentation
bin1001001001000001000011…
…01100010111000101011101
32122011122020002210001212022
410210200201230113011131
510113313333112103201
6110430135540345525
74143151551524543
oct444404154270535
978148202701768
1020101012222301
11644a87840479a
1223078643a52a5
13b2a69571c88a
144d6c738cbd93
1524cd17db841b
hex124821b1715d

20101012222301 has 2 divisors, whose sum is σ = 20101012222302. Its totient is φ = 20101012222300.

The previous prime is 20101012222223. The next prime is 20101012222327. The reversal of 20101012222301 is 10322221010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20087158696900 + 13853525401 = 4481870^2 + 117701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20101012222301 is a prime.

It is a super-2 number, since 2×201010122223012 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20101012222301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101012227301) 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, 10050506111150 + 10050506111151.

It is an arithmetic number, because the mean of its divisors is an integer number (10050506111151).

Almost surely, 220101012222301 is an apocalyptic number.

It is an amenable number.

20101012222301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101012222301 is an equidigital number, since it uses as much as digits as its factorization.

20101012222301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20101012222301 its reverse (10322221010102), we get a palindrome (30423233232403).

The spelling of 20101012222301 in words is "twenty trillion, one hundred one billion, twelve million, two hundred twenty-two thousand, three hundred one".