10500105561101 has 16 divisors (see below), whose sum is σ = 11325961012800. Its totient is φ = 9676850312448.

The previous prime is 10500105561079. The next prime is 10500105561223. The reversal of 10500105561101 is 10116550100501.

It is a cyclic number.

It is not a de Polignac number, because 10500105561101 - 2⁴² = 6102059049997 is a prime.

It is a super-2 number, since 2×10500105561101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500105561401) 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, 38551685 + ... + 38823093.

It is an arithmetic number, because the mean of its divisors is an integer number (707872563300).

Almost surely, 2^{10500105561101} is an apocalyptic number.

It is an amenable number.

10500105561101 is a deficient number, since it is larger than the sum of its proper divisors (825855451699).

10500105561101 is a wasteful number, since it uses less digits than its factorization.

10500105561101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276188.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10500105561101 its reverse (10116550100501), we get a palindrome (20616655661602).

The spelling of 10500105561101 in words is "ten trillion, five hundred billion, one hundred five million, five hundred sixty-one thousand, one hundred one".