10166110010600 has 96 divisors (see below), whose sum is σ = 24401037043200. Its totient is φ = 3934885651200.

The previous prime is 10166110010599. The next prime is 10166110010663. The reversal of 10166110010600 is 601001166101.

It is a super-2 number, since 2×10166110010600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68417186 + ... + 68565614.

It is an arithmetic number, because the mean of its divisors is an integer number (254177469200).

Almost surely, 2^{10166110010600} is an apocalyptic number.

10166110010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166110010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200518521600).

10166110010600 is an abundant number, since it is smaller than the sum of its proper divisors (14234927032600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10166110010600 is a wasteful number, since it uses less digits than its factorization.

10166110010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159523 (or 159514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 10166110010600 its reverse (601001166101), we get a palindrome (10767111176701).

The spelling of 10166110010600 in words is "ten trillion, one hundred sixty-six billion, one hundred ten million, ten thousand, six hundred".