1002122112112 has 160 divisors (see below), whose sum is σ = 2266871339520. Its totient is φ = 424109629440.

The previous prime is 1002122112109. The next prime is 1002122112113. The reversal of 1002122112112 is 2112112212001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283965964 + ... + 283969492.

It is an arithmetic number, because the mean of its divisors is an integer number (14167945872).

Almost surely, 2^{1002122112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133435669760).

1002122112112 is an abundant number, since it is smaller than the sum of its proper divisors (1264749227408).

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

1002122112112 is a wasteful number, since it uses less digits than its factorization.

1002122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1002122112112 its reverse (2112112212001), we get a palindrome (3114234324113).

It can be divided in two parts, 100 and 2122112112, that added together give a palindrome (2122112212).

The spelling of 1002122112112 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".