101112322200 has 384 divisors, whose sum is σ = 334028620800. Its totient is φ = 25256448000.

The previous prime is 101112322189. The next prime is 101112322231. The reversal of 101112322200 is 2223211101.

It is a super-2 number, since 2×101112322200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101112322200.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 193331139 + ... + 193331661.

It is an arithmetic number, because the mean of its divisors is an integer number (869866200).

Almost surely, 2^101112322200 is an apocalyptic number.

101112322200 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 101112322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167014310400).

101112322200 is an abundant number, since it is smaller than the sum of its proper divisors (232916298600).

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

101112322200 is a wasteful number, since it uses less digits than its factorization.

101112322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101112322200 its reverse (2223211101), we get a palindrome (103335533301).

The spelling of 101112322200 in words is "one hundred one billion, one hundred twelve million, three hundred twenty-two thousand, two hundred".