101222221111200 has 864 divisors, whose sum is σ = 411242572540800. Its totient is φ = 22949137244160.

The previous prime is 101222221111199. The next prime is 101222221111367. The reversal of 101222221111200 is 2111122222101.

101222221111200 is a `hidden beast` number, since 10 + 1 + 222 + 221 + 1 + 11 + 200 = 666.

101222221111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3104674099 + ... + 3104706701.

It is an arithmetic number, because the mean of its divisors is an integer number (475975199700).

Almost surely, 2^{101222221111200} is an apocalyptic number.

101222221111200 is a gapful number since it is divisible by the number (10) 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 101222221111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205621286270400).

101222221111200 is an abundant number, since it is smaller than the sum of its proper divisors (310020351429600).

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

101222221111200 is a wasteful number, since it uses less digits than its factorization.

101222221111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33134 (or 33118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222221111200 its reverse (2111122222101), we get a palindrome (103333343333301).

The spelling of 101222221111200 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".