100212210010112 has 96 divisors (see below), whose sum is σ = 200554649568000. Its totient is φ = 50061327974400.

The previous prime is 100212210010093. The next prime is 100212210010117. The reversal of 100212210010112 is 211010012212001.

It is a super-2 number, since 2×100212210010112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212210010117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18316979537 + ... + 18316985007.

It is an arithmetic number, because the mean of its divisors is an integer number (2089110933000).

Almost surely, 2^{100212210010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100277324784000).

100212210010112 is an abundant number, since it is smaller than the sum of its proper divisors (100342439557888).

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

100212210010112 is an equidigital number, since it uses as much as digits as its factorization.

100212210010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11833 counting only the distinct ones).

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

Adding to 100212210010112 its reverse (211010012212001), we get a palindrome (311222222222113).

The spelling of 100212210010112 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, ten thousand, one hundred twelve".