111002111220 has 1152 divisors, whose sum is σ = 456461107200. Its totient is φ = 19543265280.

The previous prime is 111002111159. The next prime is 111002111251. The reversal of 111002111220 is 22111200111.

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 = 111002111196 and 111002111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 464443861 + ... + 464444099.

It is an arithmetic number, because the mean of its divisors is an integer number (396233600).

Almost surely, 2^111002111220 is an apocalyptic number.

111002111220 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 111002111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228230553600).

111002111220 is an abundant number, since it is smaller than the sum of its proper divisors (345458995980).

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

111002111220 is a wasteful number, since it uses less digits than its factorization.

111002111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

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

Adding to 111002111220 its reverse (22111200111), we get a palindrome (133113311331).

It can be divided in two parts, 111002 and 111220, that added together give a palindrome (222222).

The spelling of 111002111220 in words is "one hundred eleven billion, two million, one hundred eleven thousand, two hundred twenty".