100000212112000 has 128 divisors (see below), whose sum is σ = 248633096821200. Its totient is φ = 39998867046400.

The previous prime is 100000212111997. The next prime is 100000212112007. The reversal of 100000212112000 is 211212000001.

It can be written as a sum of positive squares in 8 ways, for example, as 760202634816 + 99240009477184 = 871896^2 + 9961928^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (100000212112007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 675269964 + ... + 675418036.

Almost surely, 2^{100000212112000} is an apocalyptic number.

100000212112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000212112000 is an abundant number, since it is smaller than the sum of its proper divisors (148632884709200).

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

100000212112000 is an equidigital number, since it uses as much as digits as its factorization.

100000212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190311 (or 190289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100000212112000 its reverse (211212000001), we get a palindrome (100211424112001).

The spelling of 100000212112000 in words is "one hundred trillion, two hundred twelve million, one hundred twelve thousand".