10110506010066 has 128 divisors (see below), whose sum is σ = 28199791872000. Its totient is φ = 2608480428480.

The previous prime is 10110506010061. The next prime is 10110506010103. The reversal of 10110506010066 is 66001060501101.

10110506010066 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 50 + 601 + 0 + 0 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10110506010061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7540120 + ... + 8779203.

It is an arithmetic number, because the mean of its divisors is an integer number (220310874000).

Almost surely, 2^{10110506010066} is an apocalyptic number.

10110506010066 is an abundant number, since it is smaller than the sum of its proper divisors (18089285861934).

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

10110506010066 is a wasteful number, since it uses less digits than its factorization.

10110506010066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16319501 (or 16319495 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10110506010066 its reverse (66001060501101), we get a palindrome (76111566511167).

The spelling of 10110506010066 in words is "ten trillion, one hundred ten billion, five hundred six million, ten thousand, sixty-six".