9000101011 has 16 divisors (see below), whose sum is σ = 9931061088. Its totient is φ = 8088192000.

The previous prime is 9000100987. The next prime is 9000101023. The reversal of 9000101011 is 1101010009.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9000101011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9000100982 and 9000101000.

It is not an unprimeable number, because it can be changed into a prime (9000111011) 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, 741685 + ... + 753721.

It is an arithmetic number, because the mean of its divisors is an integer number (620691318).

Almost surely, 2^9000101011 is an apocalyptic number.

9000101011 is a deficient number, since it is larger than the sum of its proper divisors (930960077).

9000101011 is a wasteful number, since it uses less digits than its factorization.

9000101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822.

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

The square root of 9000101011 is about 94868.8621782722. The cubic root of 9000101011 is about 2080.0916049245.

It can be divided in two parts, 9000 and 101011, that added together give a palindrome (110011).

The spelling of 9000101011 in words is "nine billion, one hundred one thousand, eleven".