10500161506601 has 16 divisors (see below), whose sum is σ = 11588497804800. Its totient is φ = 9452112574080.

The previous prime is 10500161506577. The next prime is 10500161506649. The reversal of 10500161506601 is 10660516100501.

It is a cyclic number.

It is not a de Polignac number, because 10500161506601 - 2¹⁰ = 10500161505577 is a prime.

It is a super-2 number, since 2×10500161506601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10500161508601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827235 + ... + 5384568.

It is an arithmetic number, because the mean of its divisors is an integer number (724281112800).

Almost surely, 2^{10500161506601} is an apocalyptic number.

It is an amenable number.

10500161506601 is a deficient number, since it is larger than the sum of its proper divisors (1088336298199).

10500161506601 is a wasteful number, since it uses less digits than its factorization.

10500161506601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214256.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 10500161506601 in words is "ten trillion, five hundred billion, one hundred sixty-one million, five hundred six thousand, six hundred one".