1002120110112 has 192 divisors, whose sum is σ = 2884260234240. Its totient is φ = 302135884800.

The previous prime is 1002120110081. The next prime is 1002120110203. The reversal of 1002120110112 is 2110110212001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283003062 + ... + 283006602.

It is an arithmetic number, because the mean of its divisors is an integer number (15022188720).

Almost surely, 2^{1002120110112} is an apocalyptic number.

1002120110112 is a gapful number since it is divisible by the number (12) 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 1002120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442130117120).

1002120110112 is an abundant number, since it is smaller than the sum of its proper divisors (1882140124128).

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

1002120110112 is a wasteful number, since it uses less digits than its factorization.

1002120110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4839 counting only the distinct ones).

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

Adding to 1002120110112 its reverse (2110110212001), we get a palindrome (3112230322113).

It can be divided in two parts, 100 and 2120110112, that added together give a palindrome (2120110212).

The spelling of 1002120110112 in words is "one trillion, two billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".