221013314002140 has 384 divisors, whose sum is σ = 683587917250560. Its totient is φ = 52909853184000.

The previous prime is 221013314002109. The next prime is 221013314002147. The reversal of 221013314002140 is 41200413310122.

It is a self number, because there is not a number n which added to its sum of digits gives 221013314002140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221013314002147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16423662292 + ... + 16423675748.

It is an arithmetic number, because the mean of its divisors is an integer number (1780176867840).

Almost surely, 2^{221013314002140} is an apocalyptic number.

221013314002140 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 221013314002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341793958625280).

221013314002140 is an abundant number, since it is smaller than the sum of its proper divisors (462574603248420).

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

221013314002140 is a wasteful number, since it uses less digits than its factorization.

221013314002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14593 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221013314002140 its reverse (41200413310122), we get a palindrome (262213727312262).

The spelling of 221013314002140 in words is "two hundred twenty-one trillion, thirteen billion, three hundred fourteen million, two thousand, one hundred forty".