1002212002112 has 56 divisors (see below), whose sum is σ = 2009587465704. Its totient is φ = 495860908032.

The previous prime is 1002212002073. The next prime is 1002212002123. The reversal of 1002212002112 is 2112002122001.

It can be written as a sum of positive squares in 4 ways, for example, as 210225918016 + 791986084096 = 458504^2 + 889936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67268648 + ... + 67283544.

It is an arithmetic number, because the mean of its divisors is an integer number (35885490459).

Almost surely, 2^{1002212002112} 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 1002212002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004793732852).

1002212002112 is an abundant number, since it is smaller than the sum of its proper divisors (1007375463592).

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

1002212002112 is a wasteful number, since it uses less digits than its factorization.

1002212002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25843 (or 25833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002212002112 its reverse (2112002122001), we get a palindrome (3114214124113).

The spelling of 1002212002112 in words is "one trillion, two billion, two hundred twelve million, two thousand, one hundred twelve".