221000202120 has 256 divisors, whose sum is σ = 707654983680. Its totient is φ = 55085184000.

The previous prime is 221000202107. The next prime is 221000202131. The reversal of 221000202120 is 21202000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221000202096 and 221000202105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136334910 + ... + 136336530.

It is an arithmetic number, because the mean of its divisors is an integer number (2764277280).

Almost surely, 2^221000202120 is an apocalyptic number.

221000202120 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 221000202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353827491840).

221000202120 is an abundant number, since it is smaller than the sum of its proper divisors (486654781560).

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

221000202120 is a wasteful number, since it uses less digits than its factorization.

221000202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221000202120 its reverse (21202000122), we get a palindrome (242202202242).

The spelling of 221000202120 in words is "two hundred twenty-one billion, two hundred two thousand, one hundred twenty".