100011112122200 has 96 divisors (see below), whose sum is σ = 237780420989760. Its totient is φ = 39102632524800.

The previous prime is 100011112122079. The next prime is 100011112122203. The reversal of 100011112122200 is 2221211110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011112122203) 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, 384260 + ... + 14148140.

It is an arithmetic number, because the mean of its divisors is an integer number (2476879385310).

Almost surely, 2^{100011112122200} is an apocalyptic number.

100011112122200 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 100011112122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118890210494880).

100011112122200 is an abundant number, since it is smaller than the sum of its proper divisors (137769308867560).

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

100011112122200 is a wasteful number, since it uses less digits than its factorization.

100011112122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764717 (or 13764708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100011112122200 its reverse (2221211110001), we get a palindrome (102232323232201).

It can be divided in two parts, 100011 and 112122200, that added together give a palindrome (112222211).

The spelling of 100011112122200 in words is "one hundred trillion, eleven billion, one hundred twelve million, one hundred twenty-two thousand, two hundred".