100111200012096 has 224 divisors, whose sum is σ = 326206854344448. Its totient is φ = 26386454937600.

The previous prime is 100111200012077. The next prime is 100111200012121. The reversal of 100111200012096 is 690210002111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26183226 + ... + 29762118.

It is an arithmetic number, because the mean of its divisors is an integer number (1456280599752).

Almost surely, 2^{100111200012096} is an apocalyptic number.

100111200012096 is a gapful number since it is divisible by the number (16) 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 100111200012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163103427172224).

100111200012096 is an abundant number, since it is smaller than the sum of its proper divisors (226095654332352).

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

100111200012096 is a wasteful number, since it uses less digits than its factorization.

100111200012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580529 (or 3580519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 100111200012096 its reverse (690210002111001), we get a palindrome (790321202123097).

The spelling of 100111200012096 in words is "one hundred trillion, one hundred eleven billion, two hundred million, twelve thousand, ninety-six".