1009121028291 has 12 divisors (see below), whose sum is σ = 1520994013968. Its totient is φ = 643497467184.

The previous prime is 1009121028283. The next prime is 1009121028403. The reversal of 1009121028291 is 1928201219001.

It is not a de Polignac number, because 1009121028291 - 2³ = 1009121028283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009121028241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2437490200 + ... + 2437490613.

It is an arithmetic number, because the mean of its divisors is an integer number (126749501164).

Almost surely, 2^{1009121028291} is an apocalyptic number.

1009121028291 is a deficient number, since it is larger than the sum of its proper divisors (511872985677).

1009121028291 is a wasteful number, since it uses less digits than its factorization.

1009121028291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874980842 (or 4874980839 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1009121028291 in words is "one trillion, nine billion, one hundred twenty-one million, twenty-eight thousand, two hundred ninety-one".