101222110112200 has 192 divisors, whose sum is σ = 293435995144320. Its totient is φ = 31547239680000.

The previous prime is 101222110112171. The next prime is 101222110112209. The reversal of 101222110112200 is 2211011222101.

It is not an unprimeable number, because it can be changed into a prime (101222110112209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198297300 + ... + 198807100.

It is an arithmetic number, because the mean of its divisors is an integer number (1528312474710).

Almost surely, 2^{101222110112200} is an apocalyptic number.

101222110112200 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 101222110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146717997572160).

101222110112200 is an abundant number, since it is smaller than the sum of its proper divisors (192213885032120).

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

101222110112200 is a wasteful number, since it uses less digits than its factorization.

101222110112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522728 (or 522719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101222110112200 its reverse (2211011222101), we get a palindrome (103433121334301).

The spelling of 101222110112200 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred".