111002201120096 has 288 divisors, whose sum is σ = 273171880487520. Its totient is φ = 43981981655040.

The previous prime is 111002201120087. The next prime is 111002201120119. The reversal of 111002201120096 is 690021102200111.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 299162786 + ... + 299533598.

It is an arithmetic number, because the mean of its divisors is an integer number (948513473915).

Almost surely, 2^{111002201120096} is an apocalyptic number.

111002201120096 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 111002201120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136585940243760).

111002201120096 is an abundant number, since it is smaller than the sum of its proper divisors (162169679367424).

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

111002201120096 is a wasteful number, since it uses less digits than its factorization.

111002201120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371190 (or 371171 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 111002201120096 in words is "one hundred eleven trillion, two billion, two hundred one million, one hundred twenty thousand, ninety-six".