1001002112 has 64 divisors (see below), whose sum is σ = 2197324800. Its totient is φ = 450432000.

The previous prime is 1001002111. The next prime is 1001002133. The reversal of 1001002112 is 2112001001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1001002112.

It is not an unprimeable number, because it can be changed into a prime (1001002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138689 + ... + 145727.

It is an arithmetic number, because the mean of its divisors is an integer number (34333200).

Almost surely, 2^1001002112 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 1001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098662400).

1001002112 is an abundant number, since it is smaller than the sum of its proper divisors (1196322688).

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

1001002112 is a wasteful number, since it uses less digits than its factorization.

1001002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1001002112 is about 31638.6174160629. The cubic root of 1001002112 is about 1000.3339258145. Note that the first 3 decimals are identical.

Adding to 1001002112 its reverse (2112001001), we get a palindrome (3113003113).

The spelling of 1001002112 in words is "one billion, one million, two thousand, one hundred twelve".