1001002112001 has 12 divisors (see below), whose sum is σ = 1446300545040. Its totient is φ = 667146154200.

The previous prime is 1001002111951. The next prime is 1001002112137. The reversal of 1001002112001 is 1002112001001.

It is a happy number.

It is not a de Polignac number, because 1001002112001 - 2¹³ = 1001002103809 is a prime.

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 (1001002111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15681975 + ... + 15745676.

It is an arithmetic number, because the mean of its divisors is an integer number (120525045420).

Almost surely, 2^{1001002112001} is an apocalyptic number.

It is an amenable number.

1001002112001 is a deficient number, since it is larger than the sum of its proper divisors (445298433039).

1001002112001 is a wasteful number, since it uses less digits than its factorization.

1001002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31431196 (or 31431193 counting only the distinct ones).

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

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

The spelling of 1001002112001 in words is "one trillion, one billion, two million, one hundred twelve thousand, one".