100002120212000 has 96 divisors (see below), whose sum is σ = 245730768519600. Its totient is φ = 39996687052800.

The previous prime is 100002120211933. The next prime is 100002120212021. The reversal of 100002120212000 is 212021200001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9752804210704 + 90249316001296 = 3122948^2 + 9499964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37300502 + ... + 39891498.

Almost surely, 2^{100002120212000} is an apocalyptic number.

100002120212000 is a gapful number since it is divisible by the number (10) 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 100002120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122865384259800).

100002120212000 is an abundant number, since it is smaller than the sum of its proper divisors (145728648307600).

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

100002120212000 is an equidigital number, since it uses as much as digits as its factorization.

100002120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600671 (or 2600653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100002120212000 its reverse (212021200001), we get a palindrome (100214141412001).

The spelling of 100002120212000 in words is "one hundred trillion, two billion, one hundred twenty million, two hundred twelve thousand".