202111120011220 has 192 divisors, whose sum is σ = 495150340608000. Its totient is φ = 67863817598976.

The previous prime is 202111120011193. The next prime is 202111120011253. The reversal of 202111120011220 is 22110021111202.

It is a junction number, because it is equal to n+sod(n) for n = 202111120011194 and 202111120011203.

It is a congruent number.

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, 5170517436 + ... + 5170556524.

It is an arithmetic number, because the mean of its divisors is an integer number (2578908024000).

Almost surely, 2^{202111120011220} is an apocalyptic number.

202111120011220 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 202111120011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247575170304000).

202111120011220 is an abundant number, since it is smaller than the sum of its proper divisors (293039220596780).

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

202111120011220 is a wasteful number, since it uses less digits than its factorization.

202111120011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41510 (or 41508 counting only the distinct ones).

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

Adding to 202111120011220 its reverse (22110021111202), we get a palindrome (224221141122422).

The spelling of 202111120011220 in words is "two hundred two trillion, one hundred eleven billion, one hundred twenty million, eleven thousand, two hundred twenty".