100111212121200 has 480 divisors, whose sum is σ = 380810825832960. Its totient is φ = 21996168499200.

The previous prime is 100111212121177. The next prime is 100111212121231. The reversal of 100111212121200 is 2121212111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100111212121200.

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 95 ways as a sum of consecutive naturals, for example, 54391990 + ... + 56202410.

It is an arithmetic number, because the mean of its divisors is an integer number (793355887152).

Almost surely, 2^{100111212121200} is an apocalyptic number.

100111212121200 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 100111212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190405412916480).

100111212121200 is an abundant number, since it is smaller than the sum of its proper divisors (280699613711760).

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

100111212121200 is a wasteful number, since it uses less digits than its factorization.

100111212121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810705 (or 1810694 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100111212121200 its reverse (2121212111001), we get a palindrome (102232424232201).

The spelling of 100111212121200 in words is "one hundred trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".