100212101101212 has 12 divisors (see below), whose sum is σ = 233828235902856. Its totient is φ = 33404033700400.

The previous prime is 100212101101199. The next prime is 100212101101219. The reversal of 100212101101212 is 212101101212001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 100212101101191 and 100212101101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212101101219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4175504212539 + ... + 4175504212562.

It is an arithmetic number, because the mean of its divisors is an integer number (19485686325238).

Almost surely, 2^{100212101101212} is an apocalyptic number.

100212101101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212101101212 is an abundant number, since it is smaller than the sum of its proper divisors (133616134801644).

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

100212101101212 is a wasteful number, since it uses less digits than its factorization.

100212101101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351008425108 (or 8351008425106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100212101101212 its reverse (212101101212001), we get a palindrome (312313202313213).

The spelling of 100212101101212 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, one hundred one thousand, two hundred twelve".