1002112001001 has 6 divisors (see below), whose sum is σ = 1447495112570. Its totient is φ = 668074667328.

The previous prime is 1002112000997. The next prime is 1002112001053. The reversal of 1002112001001 is 1001002112001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 946534410000 + 55577591001 = 972900^2 + 235749^2 .

It is not a de Polignac number, because 1002112001001 - 2² = 1002112000997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111345777889 = 1002112001001 / (1 + 0 + 0 + 2 + 1 + 1 + 2 + 0 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002112001201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55672888936 + ... + 55672888953.

Almost surely, 2^{1002112001001} is an apocalyptic number.

It is an amenable number.

1002112001001 is a deficient number, since it is larger than the sum of its proper divisors (445383111569).

1002112001001 is a wasteful number, since it uses less digits than its factorization.

1002112001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111345777895 (or 111345777892 counting only the distinct ones).

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

Adding to 1002112001001 its reverse (1001002112001), we get a palindrome (2003114113002).

The spelling of 1002112001001 in words is "one trillion, two billion, one hundred twelve million, one thousand, one".