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101001010009967 is a prime number
BaseRepresentation
bin10110111101110000100001…
…010100101101011101101111
3111020121121021001020202222022
4112331300201110231131233
5101214300032030304332
6554451120133140355
730163040116632614
oct2675604124553557
9436547231222868
10101001010009967
112a200319072551
12b3b2809a8a6bb
13444847b744c02
141ad269145050b
15ba2404a43212
hex5bdc2152d76f

101001010009967 has 2 divisors, whose sum is σ = 101001010009968. Its totient is φ = 101001010009966.

The previous prime is 101001010009901. The next prime is 101001010010027. The reversal of 101001010009967 is 769900010100101.

It is a strong prime.

It is an emirp because it is prime and its reverse (769900010100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001010009967 - 236 = 100932290533231 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001010009567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505004983 + 50500505004984.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505004984).

Almost surely, 2101001010009967 is an apocalyptic number.

101001010009967 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010009967 is an equidigital number, since it uses as much as digits as its factorization.

101001010009967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 35.

The spelling of 101001010009967 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred sixty-seven".