100002000100212 has 72 divisors (see below), whose sum is σ = 288895707801792. Its totient is φ = 28571897088000.

The previous prime is 100002000100181. The next prime is 100002000100241. The reversal of 100002000100212 is 212001000200001.

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 = 100002000100194 and 100002000100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94460212 + ... + 95513012.

It is an arithmetic number, because the mean of its divisors is an integer number (4012440386136).

Almost surely, 2^{100002000100212} is an apocalyptic number.

100002000100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002000100212 is an abundant number, since it is smaller than the sum of its proper divisors (188893707701580).

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

100002000100212 is a wasteful number, since it uses less digits than its factorization.

100002000100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429749 (or 1429744 counting only the distinct ones).

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

Adding to 100002000100212 its reverse (212001000200001), we get a palindrome (312003000300213).

The spelling of 100002000100212 in words is "one hundred trillion, two billion, one hundred thousand, two hundred twelve".