221121201112020 has 384 divisors, whose sum is σ = 785603243335680. Its totient is φ = 51110655298560.

The previous prime is 221121201112013. The next prime is 221121201112057. The reversal of 221121201112020 is 20211102121122.

221121201112020 is a `hidden beast` number, since 221 + 12 + 120 + 111 + 202 + 0 = 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 = 221121201111984 and 221121201112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40176577 + ... + 45347543.

It is an arithmetic number, because the mean of its divisors is an integer number (2045841779520).

Almost surely, 2^{221121201112020} is an apocalyptic number.

221121201112020 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 221121201112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392801621667840).

221121201112020 is an abundant number, since it is smaller than the sum of its proper divisors (564482042223660).

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

221121201112020 is a wasteful number, since it uses less digits than its factorization.

221121201112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171332 (or 5171324 counting only the distinct ones).

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

Adding to 221121201112020 its reverse (20211102121122), we get a palindrome (241332303233142).

The spelling of 221121201112020 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve thousand, twenty".