101066665600 has 96 divisors (see below), whose sum is σ = 249762585600. Its totient is φ = 40411069440.

The previous prime is 101066665597. The next prime is 101066665627. The reversal of 101066665600 is 6566660101.

It is a self number, because there is not a number n which added to its sum of digits gives 101066665600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11960577 + ... + 11969023.

It is an arithmetic number, because the mean of its divisors is an integer number (2601693600).

Almost surely, 2^101066665600 is an apocalyptic number.

101066665600 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 101066665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124881292800).

101066665600 is an abundant number, since it is smaller than the sum of its proper divisors (148695920000).

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

101066665600 is an equidigital number, since it uses as much as digits as its factorization.

101066665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 101066665600 in words is "one hundred one billion, sixty-six million, six hundred sixty-five thousand, six hundred".