100212110000 has 200 divisors, whose sum is σ = 265767052320. Its totient is φ = 36424192000.

The previous prime is 100212109997. The next prime is 100212110027. The reversal of 100212110000 is 11212001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100212110000.

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 39 ways as a sum of consecutive naturals, for example, 4919837 + ... + 4940163.

Almost surely, 2^100212110000 is an apocalyptic number.

100212110000 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 100212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132883526160).

100212110000 is an abundant number, since it is smaller than the sum of its proper divisors (165554942320).

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

100212110000 is a wasteful number, since it uses less digits than its factorization.

100212110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401 (or 20380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100212110000 its reverse (11212001), we get a palindrome (100223322001).

The spelling of 100212110000 in words is "one hundred billion, two hundred twelve million, one hundred ten thousand".