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20121010601 is a prime number
BaseRepresentation
bin10010101111010011…
…100100000110101001
31220221021020020120212
4102233103210012221
5312201434314401
613124331030505
71311421524326
oct225723440651
956837206525
1020121010601
11859587108a
123a9659b435
131b88796843
14d8c3c5b4d
157cb6c0dbb
hex4af4e41a9

20121010601 has 2 divisors, whose sum is σ = 20121010602. Its totient is φ = 20121010600.

The previous prime is 20121010573. The next prime is 20121010649. The reversal of 20121010601 is 10601012102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19972755625 + 148254976 = 141325^2 + 12176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20121010601 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060505300 + 10060505301.

It is an arithmetic number, because the mean of its divisors is an integer number (10060505301).

Almost surely, 220121010601 is an apocalyptic number.

It is an amenable number.

20121010601 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121010601 is an equidigital number, since it uses as much as digits as its factorization.

20121010601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20121010601 its reverse (10601012102), we get a palindrome (30722022703).

The spelling of 20121010601 in words is "twenty billion, one hundred twenty-one million, ten thousand, six hundred one".