100000222121112 has 128 divisors (see below), whose sum is σ = 263990279347200. Its totient is φ = 31524706483200.

The previous prime is 100000222121081. The next prime is 100000222121179. The reversal of 100000222121112 is 211121222000001.

It is a super-3 number, since 3×100000222121112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100000222121091 and 100000222121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4798939 + ... + 14934197.

It is an arithmetic number, because the mean of its divisors is an integer number (2062424057400).

Almost surely, 2^{100000222121112} is an apocalyptic number.

100000222121112 is a gapful number since it is divisible by the number (12) 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 100000222121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131995139673600).

100000222121112 is an abundant number, since it is smaller than the sum of its proper divisors (163990057226088).

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

100000222121112 is a wasteful number, since it uses less digits than its factorization.

100000222121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135617 (or 10135613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100000222121112 its reverse (211121222000001), we get a palindrome (311121444121113).

The spelling of 100000222121112 in words is "one hundred trillion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".