10901011 has 12 divisors (see below), whose sum is σ = 12506256. Its totient is φ = 9476720.

The previous prime is 10900999. The next prime is 10901027. The reversal of 10901011 is 11010901.

It is not a de Polignac number, because 10901011 - 2¹⁷ = 10769939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10900982 and 10901000.

It is not an unprimeable number, because it can be changed into a prime (10901311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825 + ... + 4741.

It is an arithmetic number, because the mean of its divisors is an integer number (1042188).

Almost surely, 2^10901011 is an apocalyptic number.

10901011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10901011 is a deficient number, since it is larger than the sum of its proper divisors (1605245).

10901011 is a wasteful number, since it uses less digits than its factorization.

10901011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3951 counting only the distinct ones).

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

The square root of 10901011 is about 3301.6679118288. The cubic root of 10901011 is about 221.7288779601.

Adding to 10901011 its reverse (11010901), we get a palindrome (21911912).

The spelling of 10901011 in words is "ten million, nine hundred one thousand, eleven".