101112224200 has 96 divisors (see below), whose sum is σ = 253317614760. Its totient is φ = 37311897600.

The previous prime is 101112224189. The next prime is 101112224201. The reversal of 101112224200 is 2422211101.

101112224200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7399096324 + 93713127876 = 86018^2 + 306126^2 .

It is not an unprimeable number, because it can be changed into a prime (101112224201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4828152 + ... + 4849048.

Almost surely, 2^101112224200 is an apocalyptic number.

101112224200 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 101112224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658807380).

101112224200 is an abundant number, since it is smaller than the sum of its proper divisors (152205390560).

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

101112224200 is a wasteful number, since it uses less digits than its factorization.

101112224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22787 (or 22778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101112224200 its reverse (2422211101), we get a palindrome (103534435301).

The spelling of 101112224200 in words is "one hundred one billion, one hundred twelve million, two hundred twenty-four thousand, two hundred".