100111121121200 has 240 divisors, whose sum is σ = 289358021329920. Its totient is φ = 32515689461760.

The previous prime is 100111121121197. The next prime is 100111121121203. The reversal of 100111121121200 is 2121121111001.

It is an interprime number because it is at equal distance from previous prime (100111121121197) and next prime (100111121121203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100111121121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582827977 + ... + 1582891223.

It is an arithmetic number, because the mean of its divisors is an integer number (1205658422208).

Almost surely, 2^{100111121121200} is an apocalyptic number.

100111121121200 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 100111121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144679010664960).

100111121121200 is an abundant number, since it is smaller than the sum of its proper divisors (189246900208720).

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

100111121121200 is a wasteful number, since it uses less digits than its factorization.

100111121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93044 (or 93033 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111121121200 its reverse (2121121111001), we get a palindrome (102232242232201).

The spelling of 100111121121200 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".