221300311102000 has 160 divisors (see below), whose sum is σ = 577398197900160. Its totient is φ = 81550347033600.

The previous prime is 221300311101959. The next prime is 221300311102009. The reversal of 221300311102000 is 201113003122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221300311102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4872949 + ... + 21595051.

It is an arithmetic number, because the mean of its divisors is an integer number (3608738736876).

Almost surely, 2^{221300311102000} is an apocalyptic number.

221300311102000 is a gapful number since it is divisible by the number (20) 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 221300311102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288699098950080).

221300311102000 is an abundant number, since it is smaller than the sum of its proper divisors (356097886798160).

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

221300311102000 is a wasteful number, since it uses less digits than its factorization.

221300311102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16722648 (or 16722632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 221300311102000 its reverse (201113003122), we get a palindrome (221501424105122).

The spelling of 221300311102000 in words is "two hundred twenty-one trillion, three hundred billion, three hundred eleven million, one hundred two thousand".