820600001101100 has 144 divisors (see below), whose sum is σ = 1983828787831296. Its totient is φ = 292090522464000.

The previous prime is 820600001101093. The next prime is 820600001101123. The reversal of 820600001101100 is 1101100006028.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8798447 + ... + 41456153.

It is an arithmetic number, because the mean of its divisors is an integer number (13776588804384).

Almost surely, 2^{820600001101100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820600001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991914393915648).

820600001101100 is an abundant number, since it is smaller than the sum of its proper divisors (1163228786730196).

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

820600001101100 is a wasteful number, since it uses less digits than its factorization.

820600001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32658216 (or 32658209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 820600001101100 its reverse (1101100006028), we get a palindrome (821701101107128).

The spelling of 820600001101100 in words is "eight hundred twenty trillion, six hundred billion, one million, one hundred one thousand, one hundred".