1009100019091 has 2 divisors, whose sum is σ = 1009100019092. Its totient is φ = 1009100019090.

The previous prime is 1009100019017. The next prime is 1009100019097. The reversal of 1009100019091 is 1909100019001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1009100019091 - 2¹³ = 1009100010899 is a prime.

It is a super-3 number, since 3×1009100019091³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1009100019097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504550009545 + 504550009546.

It is an arithmetic number, because the mean of its divisors is an integer number (504550009546).

Almost surely, 2^{1009100019091} is an apocalyptic number.

1009100019091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009100019091 is an equidigital number, since it uses as much as digits as its factorization.

1009100019091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 1009100019091 in words is "one trillion, nine billion, one hundred million, nineteen thousand, ninety-one".