221020202122020 has 288 divisors, whose sum is σ = 791009042503680. Its totient is φ = 48883732899840.

The previous prime is 221020202122007. The next prime is 221020202122037. The reversal of 221020202122020 is 20221202020122.

221020202122020 is a `hidden beast` number, since 2 + 210 + 20 + 20 + 212 + 202 + 0 = 666.

It is a super-2 number, since 2×221020202122020² (a number of 29 digits) contains 22 as substring.

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 = 221020202121984 and 221020202122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350013694 + ... + 350644586.

It is an arithmetic number, because the mean of its divisors is an integer number (2746559175360).

Almost surely, 2^{221020202122020} is an apocalyptic number.

221020202122020 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 221020202122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395504521251840).

221020202122020 is an abundant number, since it is smaller than the sum of its proper divisors (569988840381660).

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

221020202122020 is a wasteful number, since it uses less digits than its factorization.

221020202122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639915 (or 639910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221020202122020 its reverse (20221202020122), we get a palindrome (241241404142142).

The spelling of 221020202122020 in words is "two hundred twenty-one trillion, twenty billion, two hundred two million, one hundred twenty-two thousand, twenty".