10500610561111 has 24 divisors (see below), whose sum is σ = 12186297705600. Its totient is φ = 8971475606400.

The previous prime is 10500610561093. The next prime is 10500610561163. The reversal of 10500610561111 is 11116501600501.

10500610561111 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 10500610561111 - 2⁷ = 10500610560983 is a prime.

It is a super-2 number, since 2×10500610561111² (a number of 27 digits) contains 22 as substring.

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 10500610561111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500610561711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193411 + ... + 4586788.

It is an arithmetic number, because the mean of its divisors is an integer number (507762404400).

Almost surely, 2^{10500610561111} is an apocalyptic number.

10500610561111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10500610561111 is a deficient number, since it is larger than the sum of its proper divisors (1685687144489).

10500610561111 is a wasteful number, since it uses less digits than its factorization.

10500610561111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780935 (or 4780918 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 28.

The spelling of 10500610561111 in words is "ten trillion, five hundred billion, six hundred ten million, five hundred sixty-one thousand, one hundred eleven".