100210000020012 has 36 divisors (see below), whose sum is σ = 253334494203336. Its totient is φ = 33399920191680.

The previous prime is 100210000019861. The next prime is 100210000020023. The reversal of 100210000020012 is 210020000012001.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100210000019976 and 100210000020003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141857289 + ... + 142561952.

It is an arithmetic number, because the mean of its divisors is an integer number (7037069283426).

Almost surely, 2^{100210000020012} is an apocalyptic number.

100210000020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210000020012 is an abundant number, since it is smaller than the sum of its proper divisors (153124494183324).

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

100210000020012 is a wasteful number, since it uses less digits than its factorization.

100210000020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284429038 (or 284429033 counting only the distinct ones).

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

Adding to 100210000020012 its reverse (210020000012001), we get a palindrome (310230000032013).

The spelling of 100210000020012 in words is "one hundred trillion, two hundred ten billion, twenty thousand, twelve".