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10000111009901 is a prime number
BaseRepresentation
bin1001000110000101010100…
…0100001000000001101101
31022102000000221010010210012
42101201111010020001231
52302320211404304101
633133553152223005
72051325034043315
oct221412504100155
938360027103705
1010000111009901
113206028a65441
121156108b3aa65
1357701115545c
14268017b88445
151251d4a6ebbb
hex9185510806d

10000111009901 has 2 divisors, whose sum is σ = 10000111009902. Its totient is φ = 10000111009900.

The previous prime is 10000111009879. The next prime is 10000111009949. The reversal of 10000111009901 is 10990011100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6109548062500 + 3890562947401 = 2471750^2 + 1972451^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10660011100001 and 10000111006601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000111009901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000111009961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055504950 + 5000055504951.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055504951).

Almost surely, 210000111009901 is an apocalyptic number.

It is an amenable number.

10000111009901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111009901 is an equidigital number, since it uses as much as digits as its factorization.

10000111009901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

Adding to 10000111009901 its reverse (10990011100001), we get a palindrome (20990122109902).

The spelling of 10000111009901 in words is "ten trillion, one hundred eleven million, nine thousand, nine hundred one".