202221110111020 has 768 divisors, whose sum is σ = 602211150987264. Its totient is φ = 54976965120000.

The previous prime is 202221110111011. The next prime is 202221110111039. The reversal of 202221110111020 is 20111011122202.

It is a junction number, because it is equal to n+sod(n) for n = 202221110110985 and 202221110111003.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21718512165 + ... + 21718521475.

It is an arithmetic number, because the mean of its divisors is an integer number (784129102848).

Almost surely, 2^{202221110111020} is an apocalyptic number.

202221110111020 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 202221110111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301105575493632).

202221110111020 is an abundant number, since it is smaller than the sum of its proper divisors (399990040876244).

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

202221110111020 is a wasteful number, since it uses less digits than its factorization.

202221110111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9942 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202221110111020 its reverse (20111011122202), we get a palindrome (222332121233222).

The spelling of 202221110111020 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred ten million, one hundred eleven thousand, twenty".