1110212002120 has 256 divisors, whose sum is σ = 2914010588160. Its totient is φ = 376949194752.

The previous prime is 1110212002111. The next prime is 1110212002129. The reversal of 1110212002120 is 212002120111.

It is an interprime number because it is at equal distance from previous prime (1110212002111) and next prime (1110212002129).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1110212002120.

It is not an unprimeable number, because it can be changed into a prime (1110212002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281277987 + ... + 281281933.

It is an arithmetic number, because the mean of its divisors is an integer number (11382853860).

Almost surely, 2^{1110212002120} is an apocalyptic number.

1110212002120 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 1110212002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457005294080).

1110212002120 is an abundant number, since it is smaller than the sum of its proper divisors (1803798586040).

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

1110212002120 is a wasteful number, since it uses less digits than its factorization.

1110212002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1110212002120 its reverse (212002120111), we get a palindrome (1322214122231).

The spelling of 1110212002120 in words is "one trillion, one hundred ten billion, two hundred twelve million, two thousand, one hundred twenty".