1002022210112 has 224 divisors, whose sum is σ = 2497760409600. Its totient is φ = 387459072000.

The previous prime is 1002022210103. The next prime is 1002022210129. The reversal of 1002022210112 is 2110122202001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 481508912 + ... + 481510992.

Almost surely, 2^{1002022210112} 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 1002022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248880204800).

1002022210112 is an abundant number, since it is smaller than the sum of its proper divisors (1495738199488).

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

1002022210112 is a wasteful number, since it uses less digits than its factorization.

1002022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2791 counting only the distinct ones).

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

Adding to 1002022210112 its reverse (2110122202001), we get a palindrome (3112144412113).

The spelling of 1002022210112 in words is "one trillion, two billion, twenty-two million, two hundred ten thousand, one hundred twelve".