1001112001002 has 12 divisors (see below), whose sum is σ = 2169076002210. Its totient is φ = 333704000328.

The previous prime is 1001112000983. The next prime is 1001112001009. The reversal of 1001112001002 is 2001002111001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 748898121321 + 252213879681 = 865389^2 + 502209^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001112001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27808666677 + ... + 27808666712.

Almost surely, 2^{1001112001002} is an apocalyptic number.

1001112001002 is an abundant number, since it is smaller than the sum of its proper divisors (1167964001208).

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

1001112001002 is a wasteful number, since it uses less digits than its factorization.

1001112001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55617333397 (or 55617333394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001112001002 its reverse (2001002111001), we get a palindrome (3002114112003).

The spelling of 1001112001002 in words is "one trillion, one billion, one hundred twelve million, one thousand, two".