100002121102212 has 24 divisors (see below), whose sum is σ = 266672322939456. Its totient is φ = 28572034600608.

The previous prime is 100002121102183. The next prime is 100002121102217. The reversal of 100002121102212 is 212201121200001.

100002121102212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100002121102191 and 100002121102200.

It is not an unprimeable number, because it can be changed into a prime (100002121102217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595250720763 + ... + 595250720930.

It is an arithmetic number, because the mean of its divisors is an integer number (11111346789144).

Almost surely, 2^{100002121102212} is an apocalyptic number.

100002121102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002121102212 is an abundant number, since it is smaller than the sum of its proper divisors (166670201837244).

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

100002121102212 is a wasteful number, since it uses less digits than its factorization.

100002121102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190501441707 (or 1190501441705 counting only the distinct ones).

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

Adding to 100002121102212 its reverse (212201121200001), we get a palindrome (312203242302213).

The spelling of 100002121102212 in words is "one hundred trillion, two billion, one hundred twenty-one million, one hundred two thousand, two hundred twelve".