202111112120 has 256 divisors, whose sum is σ = 485935148160. Its totient is φ = 75571200000.

The previous prime is 202111112117. The next prime is 202111112129. The reversal of 202111112120 is 21211111202.

It is a junction number, because it is equal to n+sod(n) for n = 202111112095 and 202111112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111112129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838635200 + ... + 838635440.

Almost surely, 2^202111112120 is an apocalyptic number.

202111112120 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 202111112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242967574080).

202111112120 is an abundant number, since it is smaller than the sum of its proper divisors (283824036040).

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

202111112120 is a wasteful number, since it uses less digits than its factorization.

202111112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202111112120 its reverse (21211111202), we get a palindrome (223322223322).

The spelling of 202111112120 in words is "two hundred two billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty".