101011009 has 32 divisors (see below), whose sum is σ = 119854080. Its totient is φ = 84216000.

The previous prime is 101010979. The next prime is 101011013. The reversal of 101011009 is 900110101.

It is not a de Polignac number, because 101011009 - 2⁵ = 101010977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011009.

It is not an unprimeable number, because it can be changed into a prime (101011019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000059 + ... + 1000159.

It is an arithmetic number, because the mean of its divisors is an integer number (3745440).

Almost surely, 2^101011009 is an apocalyptic number.

It is an amenable number.

101011009 is a deficient number, since it is larger than the sum of its proper divisors (18843071).

101011009 is a wasteful number, since it uses less digits than its factorization.

101011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 101011009 is about 10050.4233244177. The cubic root of 101011009 is about 465.7178706335.

The spelling of 101011009 in words is "one hundred one million, eleven thousand, nine".