221200012221100 has 288 divisors, whose sum is σ = 551294994862080. Its totient is φ = 76253604768000.

The previous prime is 221200012221079. The next prime is 221200012221137. The reversal of 221200012221100 is 1122210002122.

It is a happy number.

It is a super-2 number, since 2×221200012221100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1480405395 + ... + 1480554805.

It is an arithmetic number, because the mean of its divisors is an integer number (1914218732160).

Almost surely, 2^{221200012221100} is an apocalyptic number.

221200012221100 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 221200012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275647497431040).

221200012221100 is an abundant number, since it is smaller than the sum of its proper divisors (330094982640980).

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

221200012221100 is a wasteful number, since it uses less digits than its factorization.

221200012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149981 (or 149974 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221200012221100 its reverse (1122210002122), we get a palindrome (222322222223222).

The spelling of 221200012221100 in words is "two hundred twenty-one trillion, two hundred billion, twelve million, two hundred twenty-one thousand, one hundred".