221200120100 has 72 divisors (see below), whose sum is σ = 484738974720. Its totient is φ = 87608407680.

The previous prime is 221200120093. The next prime is 221200120111. The reversal of 221200120100 is 1021002122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18120599 + ... + 18132801.

It is an arithmetic number, because the mean of its divisors is an integer number (6732485760).

Almost surely, 2^221200120100 is an apocalyptic number.

221200120100 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 221200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242369487360).

221200120100 is an abundant number, since it is smaller than the sum of its proper divisors (263538854620).

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

221200120100 is a wasteful number, since it uses less digits than its factorization.

221200120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13989 (or 13982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221200120100 its reverse (1021002122), we get a palindrome (222221122222).

The spelling of 221200120100 in words is "two hundred twenty-one billion, two hundred million, one hundred twenty thousand, one hundred".