1010109991 has 16 divisors (see below), whose sum is σ = 1142359200. Its totient is φ = 884732800.

The previous prime is 1010109959. The next prime is 1010110001. The reversal of 1010109991 is 1999010101.

1010109991 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 1010109991 - 2⁵ = 1010109959 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 (1010109941) 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, 159261 + ... + 165481.

It is an arithmetic number, because the mean of its divisors is an integer number (71397450).

Almost surely, 2^1010109991 is an apocalyptic number.

1010109991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010109991 is a deficient number, since it is larger than the sum of its proper divisors (132249209).

1010109991 is a wasteful number, since it uses less digits than its factorization.

1010109991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770.

The product of its (nonzero) digits is 729, while the sum is 31.

The square root of 1010109991 is about 31782.2275965672. The cubic root of 1010109991 is about 1003.3587034812.

The spelling of 1010109991 in words is "one billion, ten million, one hundred nine thousand, nine hundred ninety-one".