100212002000020 has 36 divisors (see below), whose sum is σ = 223552517969340. Its totient is φ = 37726871339008.

The previous prime is 100212001999987. The next prime is 100212002000069. The reversal of 100212002000020 is 20000200212001.

It can be written as a sum of positive squares in 6 ways, for example, as 9089284344336 + 91122717655684 = 3014844^2 + 9545822^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100212001999970 and 100212002000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8668852525 + ... + 8668864084.

It is an arithmetic number, because the mean of its divisors is an integer number (6209792165815).

Almost surely, 2^{100212002000020} is an apocalyptic number.

100212002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212002000020 is an abundant number, since it is smaller than the sum of its proper divisors (123340515969320).

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

100212002000020 is a wasteful number, since it uses less digits than its factorization.

100212002000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17337716652 (or 17337716633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100212002000020 its reverse (20000200212001), we get a palindrome (120212202212021).

The spelling of 100212002000020 in words is "one hundred trillion, two hundred twelve billion, two million, twenty", and thus it is an aban number.