221101211111200 has 144 divisors (see below), whose sum is σ = 620957628918144. Its totient is φ = 75304101888000.

The previous prime is 221101211111171. The next prime is 221101211111219. The reversal of 221101211111200 is 2111112101122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129890689 + ... + 131581888.

It is an arithmetic number, because the mean of its divisors is an integer number (4312205756376).

Almost surely, 2^{221101211111200} is an apocalyptic number.

221101211111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101211111200 is an abundant number, since it is smaller than the sum of its proper divisors (399856417806944).

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

221101211111200 is a wasteful number, since it uses less digits than its factorization.

221101211111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261472755 (or 261472742 counting only the distinct ones).

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

Adding to 221101211111200 its reverse (2111112101122), we get a palindrome (223212323212322).

The spelling of 221101211111200 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, two hundred".