100012121211200 has 336 divisors, whose sum is σ = 286913069763264. Its totient is φ = 33908841676800.

The previous prime is 100012121211173. The next prime is 100012121211229. The reversal of 100012121211200 is 2112121210001.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 30452414 + ... + 33576386.

It is an arithmetic number, because the mean of its divisors is an integer number (853907945724).

Almost surely, 2^{100012121211200} is an apocalyptic number.

100012121211200 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 100012121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143456534881632).

100012121211200 is an abundant number, since it is smaller than the sum of its proper divisors (186900948552064).

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

100012121211200 is a wasteful number, since it uses less digits than its factorization.

100012121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124130 (or 3124115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100012121211200 its reverse (2112121210001), we get a palindrome (102124242421201).

The spelling of 100012121211200 in words is "one hundred trillion, twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".