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1001012101909 is a prime number
BaseRepresentation
bin11101001000100001111…
…10001000001100010101
310112200210020212112021221
432210100332020030111
5112400033044230114
62043505243210341
7132215004322321
oct16442076101425
93480706775257
101001012101909
11356588265056
12142004b169b1
1373519b82201
1436640a24981
151b08a538524
hexe910f88315

1001012101909 has 2 divisors, whose sum is σ = 1001012101910. Its totient is φ = 1001012101908.

The previous prime is 1001012101897. The next prime is 1001012101937. The reversal of 1001012101909 is 9091012101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974915314884 + 26096787025 = 987378^2 + 161545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001012101909 - 211 = 1001012099861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001012101979) 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, 500506050954 + 500506050955.

It is an arithmetic number, because the mean of its divisors is an integer number (500506050955).

Almost surely, 21001012101909 is an apocalyptic number.

It is an amenable number.

1001012101909 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001012101909 is an equidigital number, since it uses as much as digits as its factorization.

1001012101909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 1001012101909 in words is "one trillion, one billion, twelve million, one hundred one thousand, nine hundred nine".