221000101111320 has 64 divisors (see below), whose sum is σ = 684387409904640. Its totient is φ = 57032284156800.

The previous prime is 221000101111271. The next prime is 221000101111343. The reversal of 221000101111320 is 23111101000122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221000101111320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29704310946 + ... + 29704318385.

It is an arithmetic number, because the mean of its divisors is an integer number (10693553279760).

Almost surely, 2^{221000101111320} is an apocalyptic number.

221000101111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000101111320 is an abundant number, since it is smaller than the sum of its proper divisors (463387308793320).

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

221000101111320 is a wasteful number, since it uses less digits than its factorization.

221000101111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59408629376 (or 59408629372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 221000101111320 its reverse (23111101000122), we get a palindrome (244111202111442).

The spelling of 221000101111320 in words is "two hundred twenty-one trillion, one hundred one million, one hundred eleven thousand, three hundred twenty".