100660020066001 has 24 divisors (see below), whose sum is σ = 110994678648000. Its totient is φ = 91218308781600.

The previous prime is 100660020065999. The next prime is 100660020066029.

100660020066001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100660020066001 - 2¹ = 100660020065999 is a prime.

It is a super-2 number, since 2×100660020066001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100660020066901) 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, 110271466 + ... + 111180556.

It is an arithmetic number, because the mean of its divisors is an integer number (4624778277000).

Almost surely, 2^{100660020066001} is an apocalyptic number.

100660020066001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100660020066001 is a deficient number, since it is larger than the sum of its proper divisors (10334658581999).

100660020066001 is a wasteful number, since it uses less digits than its factorization.

100660020066001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912021 (or 912010 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 100660020066001 in words is "one hundred trillion, six hundred sixty billion, twenty million, sixty-six thousand, one".