1101016566660 has 96 divisors (see below), whose sum is σ = 3152614348800. Its totient is φ = 287015459200.

The previous prime is 1101016566583. The next prime is 1101016566667. The reversal of 1101016566660 is 666656101011.

It is not an unprimeable number, because it can be changed into a prime (1101016566667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235116 + ... + 1502435.

It is an arithmetic number, because the mean of its divisors is an integer number (32839732800).

Almost surely, 2^{1101016566660} is an apocalyptic number.

1101016566660 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 1101016566660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576307174400).

1101016566660 is an abundant number, since it is smaller than the sum of its proper divisors (2051597782140).

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

1101016566660 is a wasteful number, since it uses less digits than its factorization.

1101016566660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737801 (or 1737799 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 1101016566660 in words is "one trillion, one hundred one billion, sixteen million, five hundred sixty-six thousand, six hundred sixty".