2001011012001 has 32 divisors (see below), whose sum is σ = 3032912977920. Its totient is φ = 1303304692752.

The previous prime is 2001011011981. The next prime is 2001011012017. The reversal of 2001011012001 is 1002101101002.

It is a happy number.

It is not a de Polignac number, because 2001011012001 - 2¹¹ = 2001011009953 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 (2001011012041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685945 + ... + 2114838.

It is an arithmetic number, because the mean of its divisors is an integer number (94778530560).

Almost surely, 2^{2001011012001} is an apocalyptic number.

It is an amenable number.

2001011012001 is a deficient number, since it is larger than the sum of its proper divisors (1031901965919).

2001011012001 is a wasteful number, since it uses less digits than its factorization.

2001011012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801402 (or 2801396 counting only the distinct ones).

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

Adding to 2001011012001 its reverse (1002101101002), we get a palindrome (3003112113003).

The spelling of 2001011012001 in words is "two trillion, one billion, eleven million, twelve thousand, one".