221101011200 has 108 divisors (see below), whose sum is σ = 566131043940. Its totient is φ = 85390663680.

The previous prime is 221101011193. The next prime is 221101011211. The reversal of 221101011200 is 2110101122.

It can be written as a sum of positive squares in 6 ways, for example, as 5819858944 + 215281152256 = 76288^2 + 463984^2 .

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 11 ways as a sum of consecutive naturals, for example, 410039 + ... + 781238.

Almost surely, 2^221101011200 is an apocalyptic number.

221101011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101011200 is an abundant number, since it is smaller than the sum of its proper divisors (345030032740).

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

221101011200 is a wasteful number, since it uses less digits than its factorization.

221101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191332 (or 1191313 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221101011200 its reverse (2110101122), we get a palindrome (223211112322).

The spelling of 221101011200 in words is "two hundred twenty-one billion, one hundred one million, eleven thousand, two hundred".