221010861120 has 224 divisors, whose sum is σ = 804814500096. Its totient is φ = 50336563200.

The previous prime is 221010861101. The next prime is 221010861121. The reversal of 221010861120 is 21168010122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221010861121) 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, 1829800 + ... + 1946840.

Almost surely, 2^221010861120 is an apocalyptic number.

221010861120 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 221010861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402407250048).

221010861120 is an abundant number, since it is smaller than the sum of its proper divisors (583803638976).

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

221010861120 is a wasteful number, since it uses less digits than its factorization.

221010861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117349 (or 117339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 221010861120 its reverse (21168010122), we get a palindrome (242178871242).

The spelling of 221010861120 in words is "two hundred twenty-one billion, ten million, eight hundred sixty-one thousand, one hundred twenty".