100002100212 has 216 divisors, whose sum is σ = 299596970400. Its totient is φ = 28035745920.

The previous prime is 100002100141. The next prime is 100002100217. The reversal of 100002100212 is 212001200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100002100194 and 100002100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002100217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58858539 + ... + 58860237.

Almost surely, 2^100002100212 is an apocalyptic number.

100002100212 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 100002100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149798485200).

100002100212 is an abundant number, since it is smaller than the sum of its proper divisors (199594870188).

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

100002100212 is a wasteful number, since it uses less digits than its factorization.

100002100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002100212 its reverse (212001200001), we get a palindrome (312003300213).

The spelling of 100002100212 in words is "one hundred billion, two million, one hundred thousand, two hundred twelve".