1009118209101 has 36 divisors (see below), whose sum is σ = 1436783164992. Its totient is φ = 629871366144.

The previous prime is 1009118209093. The next prime is 1009118209123. The reversal of 1009118209101 is 1019028119001.

1009118209101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1009118209101 - 2³ = 1009118209093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009118201101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32279260 + ... + 32310506.

It is an arithmetic number, because the mean of its divisors is an integer number (39910643472).

Almost surely, 2^{1009118209101} is an apocalyptic number.

It is an amenable number.

1009118209101 is a deficient number, since it is larger than the sum of its proper divisors (427664955891).

1009118209101 is an equidigital number, since it uses as much as digits as its factorization.

1009118209101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31670 (or 31460 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 33.

Multiplying 1009118209101 by its sum of digits (33), we get a palindrome (33300900900333).

The spelling of 1009118209101 in words is "one trillion, nine billion, one hundred eighteen million, two hundred nine thousand, one hundred one".