201112112021220 has 144 divisors (see below), whose sum is σ = 626543883441840. Its totient is φ = 52179087264768.

The previous prime is 201112112021203. The next prime is 201112112021263. The reversal of 201112112021220 is 22120211211102.

201112112021220 is a `hidden beast` number, since 20 + 1 + 11 + 211 + 202 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7659786887424 + 193452325133796 = 2767632^2 + 13908714^2 .

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 = 201112112021193 and 201112112021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270644346 + ... + 271386414.

Almost surely, 2^{201112112021220} is an apocalyptic number.

201112112021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112112021220 is an abundant number, since it is smaller than the sum of its proper divisors (425431771420620).

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

201112112021220 is a wasteful number, since it uses less digits than its factorization.

201112112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782814 (or 782809 counting only the distinct ones).

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

Adding to 201112112021220 its reverse (22120211211102), we get a palindrome (223232323232322).

The spelling of 201112112021220 in words is "two hundred one trillion, one hundred twelve billion, one hundred twelve million, twenty-one thousand, two hundred twenty".