10511001001111 has 16 divisors (see below), whose sum is σ = 11472773749024. Its totient is φ = 9571758004224.

The previous prime is 10511001001099. The next prime is 10511001001139. The reversal of 10511001001111 is 11110010011501.

It is not a de Polignac number, because 10511001001111 - 2⁵ = 10511001001079 is a prime.

It is a super-2 number, since 2×10511001001111² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10511001001091 and 10511001001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511001001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12920721 + ... + 13710106.

It is an arithmetic number, because the mean of its divisors is an integer number (717048359314).

Almost surely, 2^{10511001001111} is an apocalyptic number.

10511001001111 is a deficient number, since it is larger than the sum of its proper divisors (961772747913).

10511001001111 is a wasteful number, since it uses less digits than its factorization.

10511001001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26631250.

The product of its (nonzero) digits is 5, while the sum is 13.

Adding to 10511001001111 its reverse (11110010011501), we get a palindrome (21621011012612).

The spelling of 10511001001111 in words is "ten trillion, five hundred eleven billion, one million, one thousand, one hundred eleven".