1001332202112 has 640 divisors, whose sum is σ = 3447949982400. Its totient is φ = 285280911360.

The previous prime is 1001332202099. The next prime is 1001332202153. The reversal of 1001332202112 is 2112022331001.

1001332202112 is a `hidden beast` number, since 100 + 1 + 332 + 20 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 296865258 + ... + 296868630.

Almost surely, 2^{1001332202112} is an apocalyptic number.

1001332202112 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 1001332202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723974991200).

1001332202112 is an abundant number, since it is smaller than the sum of its proper divisors (2446617780288).

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

1001332202112 is a wasteful number, since it uses less digits than its factorization.

1001332202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001332202112 its reverse (2112022331001), we get a palindrome (3113354533113).

The spelling of 1001332202112 in words is "one trillion, one billion, three hundred thirty-two million, two hundred two thousand, one hundred twelve".