1009109101 has 16 divisors (see below), whose sum is σ = 1354889088. Its totient is φ = 725832000.

The previous prime is 1009109083. The next prime is 1009109141. The reversal of 1009109101 is 1019019001.

1009109101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1009109101 - 2¹⁵ = 1009076333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009109141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503050 + ... + 505051.

It is an arithmetic number, because the mean of its divisors is an integer number (84680568).

Almost surely, 2^1009109101 is an apocalyptic number.

1009109101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1009109101 is a deficient number, since it is larger than the sum of its proper divisors (345779987).

1009109101 is a wasteful number, since it uses less digits than its factorization.

1009109101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008132.

The product of its (nonzero) digits is 81, while the sum is 22.

The square root of 1009109101 is about 31766.4776297279. The cubic root of 1009109101 is about 1003.0271938504.

Multiplying 1009109101 by its sum of digits (22), we get a palindrome (22200400222).

It can be divided in two parts, 100910 and 9101, that added together give a palindrome (110011).

The spelling of 1009109101 in words is "one billion, nine million, one hundred nine thousand, one hundred one".