202112112110220 has 240 divisors, whose sum is σ = 690476936798880. Its totient is φ = 49191676959744.

The previous prime is 202112112110189. The next prime is 202112112110243. The reversal of 202112112110220 is 22011211211202.

202112112110220 is a `hidden beast` number, since 2 + 0 + 21 + 1 + 211 + 211 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202112112110193 and 202112112110202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52041202 + ... + 55789881.

It is an arithmetic number, because the mean of its divisors is an integer number (2876987236662).

Almost surely, 2^{202112112110220} is an apocalyptic number.

202112112110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112112110220 is an abundant number, since it is smaller than the sum of its proper divisors (488364824688660).

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

202112112110220 is a wasteful number, since it uses less digits than its factorization.

202112112110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107831206 (or 107831195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202112112110220 its reverse (22011211211202), we get a palindrome (224123323321422).

The spelling of 202112112110220 in words is "two hundred two trillion, one hundred twelve billion, one hundred twelve million, one hundred ten thousand, two hundred twenty".