221202122120020 has 96 divisors (see below), whose sum is σ = 480254787669888. Its totient is φ = 85527357898752.

The previous prime is 221202122119991. The next prime is 221202122120039. The reversal of 221202122120020 is 20021221202122.

221202122120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221202122120020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708627132 + ... + 1708756588.

It is an arithmetic number, because the mean of its divisors is an integer number (5002654038228).

Almost surely, 2^{221202122120020} is an apocalyptic number.

221202122120020 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 221202122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240127393834944).

221202122120020 is an abundant number, since it is smaller than the sum of its proper divisors (259052665549868).

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

221202122120020 is a wasteful number, since it uses less digits than its factorization.

221202122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150089 (or 150087 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221202122120020 its reverse (20021221202122), we get a palindrome (241223343322142).

The spelling of 221202122120020 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, twenty".