221100201122220 has 960 divisors, whose sum is σ = 856233157570560. Its totient is φ = 46611359539200.

The previous prime is 221100201122219. The next prime is 221100201122221. The reversal of 221100201122220 is 22221102001122.

It is a happy number.

221100201122220 is a `hidden beast` number, since 2 + 21 + 100 + 201 + 122 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (221100201122219) and next prime (221100201122221).

It is a super-2 number, since 2×221100201122220² (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 = 221100201122193 and 221100201122202.

It is not an unprimeable number, because it can be changed into a prime (221100201122221) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3186811491 + ... + 3186880869.

It is an arithmetic number, because the mean of its divisors is an integer number (891909539136).

Almost surely, 2^{221100201122220} is an apocalyptic number.

221100201122220 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 221100201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428116578785280).

221100201122220 is an abundant number, since it is smaller than the sum of its proper divisors (635132956448340).

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

221100201122220 is a wasteful number, since it uses less digits than its factorization.

221100201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69756 (or 69745 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221100201122220 its reverse (22221102001122), we get a palindrome (243321303123342).

The spelling of 221100201122220 in words is "two hundred twenty-one trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".