1009181919101 has 8 divisors (see below), whose sum is σ = 1024552235520. Its totient is φ = 993820658688.

The previous prime is 1009181919073. The next prime is 1009181919103. The reversal of 1009181919101 is 1019191819001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009181919101 - 2²⁶ = 1009114810237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009181919103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039261 + ... + 2485346.

It is an arithmetic number, because the mean of its divisors is an integer number (128069029440).

Almost surely, 2^{1009181919101} is an apocalyptic number.

It is an amenable number.

1009181919101 is a deficient number, since it is larger than the sum of its proper divisors (15370316419).

1009181919101 is an equidigital number, since it uses as much as digits as its factorization.

1009181919101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528003.

The product of its (nonzero) digits is 5832, while the sum is 41.

The spelling of 1009181919101 in words is "one trillion, nine billion, one hundred eighty-one million, nine hundred nineteen thousand, one hundred one".