111002012010120 has 768 divisors, whose sum is σ = 429694276377600. Its totient is φ = 22677919488000.

The previous prime is 111002012010119. The next prime is 111002012010157. The reversal of 111002012010120 is 21010210200111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111002012010096 and 111002012010105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13773666651 + ... + 13773674709.

It is an arithmetic number, because the mean of its divisors is an integer number (559497755700).

Almost surely, 2^{111002012010120} is an apocalyptic number.

111002012010120 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 111002012010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214847138188800).

111002012010120 is an abundant number, since it is smaller than the sum of its proper divisors (318692264367480).

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

111002012010120 is a wasteful number, since it uses less digits than its factorization.

111002012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111002012010120 its reverse (21010210200111), we get a palindrome (132012222210231).

The spelling of 111002012010120 in words is "one hundred eleven trillion, two billion, twelve million, ten thousand, one hundred twenty".