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10100001000919 is a prime number
BaseRepresentation
bin1001001011111001011011…
…1110001100110111010111
31022202112212102202110002011
42102332112332030313113
52310434300224012134
633251513145325051
72061462304002034
oct222762676146727
938675772673064
1010100001000919
113244428293125
121171545a96787
1358356cc2870b
1426cbb237038b
15127ace2c9264
hex92f96f8cdd7

10100001000919 has 2 divisors, whose sum is σ = 10100001000920. Its totient is φ = 10100001000918.

The previous prime is 10100001000917. The next prime is 10100001001009. The reversal of 10100001000919 is 91900010000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100001000919 - 21 = 10100001000917 is a prime.

It is a super-2 number, since 2×101000010009192 (a number of 27 digits) contains 22 as substring.

Together with 10100001000917, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001000919.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001000911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000500459 + 5050000500460.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000500460).

Almost surely, 210100001000919 is an apocalyptic number.

10100001000919 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001000919 is an equidigital number, since it uses as much as digits as its factorization.

10100001000919 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 22.

The spelling of 10100001000919 in words is "ten trillion, one hundred billion, one million, nine hundred nineteen", and thus it is an aban number.