10901009911 has 12 divisors (see below), whose sum is σ = 12368625472. Its totient is φ = 9590328000.

The previous prime is 10901009869. The next prime is 10901009923. The reversal of 10901009911 is 11990010901.

10901009911 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10901009911 - 2²⁹ = 10364138999 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10911009911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1449330 + ... + 1456831.

Almost surely, 2^10901009911 is an apocalyptic number.

10901009911 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10901009911 is a deficient number, since it is larger than the sum of its proper divisors (1467615561).

10901009911 is a wasteful number, since it uses less digits than its factorization.

10901009911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906214 (or 2906203 counting only the distinct ones).

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

It can be divided in two parts, 1090100 and 9911, that added together give a palindrome (1100011).

The spelling of 10901009911 in words is "ten billion, nine hundred one million, nine thousand, nine hundred eleven".