1009201828191 has 8 divisors (see below), whose sum is σ = 1424755522224. Its totient is φ = 633224676480.

The previous prime is 1009201828177. The next prime is 1009201828249. The reversal of 1009201828191 is 1918281029001.

It is a happy number.

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

It is not a de Polignac number, because 1009201828191 - 2⁶ = 1009201828127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009201828171) 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, 9894135520 + ... + 9894135621.

It is an arithmetic number, because the mean of its divisors is an integer number (178094440278).

Almost surely, 2^{1009201828191} is an apocalyptic number.

1009201828191 is a deficient number, since it is larger than the sum of its proper divisors (415553694033).

1009201828191 is a wasteful number, since it uses less digits than its factorization.

1009201828191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19788271161.

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 1009201828191 in words is "one trillion, nine billion, two hundred one million, eight hundred twenty-eight thousand, one hundred ninety-one".