111002201010120 has 256 divisors, whose sum is σ = 391148074713600. Its totient is φ = 24668318638080.

The previous prime is 111002201010091. The next prime is 111002201010187. The reversal of 111002201010120 is 21010102200111.

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 = 111002201010096 and 111002201010105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41628396 + ... + 44214564.

It is an arithmetic number, because the mean of its divisors is an integer number (1527922166850).

Almost surely, 2^{111002201010120} is an apocalyptic number.

111002201010120 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 111002201010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195574037356800).

111002201010120 is an abundant number, since it is smaller than the sum of its proper divisors (280145873703480).

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

111002201010120 is a wasteful number, since it uses less digits than its factorization.

111002201010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587608 (or 2587604 counting only the distinct ones).

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

Adding to 111002201010120 its reverse (21010102200111), we get a palindrome (132012303210231).

The spelling of 111002201010120 in words is "one hundred eleven trillion, two billion, two hundred one million, ten thousand, one hundred twenty".