2001001011012 has 96 divisors (see below), whose sum is σ = 5298695216640. Its totient is φ = 652742737920.

The previous prime is 2001001010993. The next prime is 2001001011013. The reversal of 2001001011012 is 2101101001002.

It is a happy number.

It is a super-2 number, since 2×2001001011012² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001001010985 and 2001001011003.

It is not an unprimeable number, because it can be changed into a prime (2001001011013) 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, 90955998 + ... + 90977994.

It is an arithmetic number, because the mean of its divisors is an integer number (55194741840).

Almost surely, 2^{2001001011012} is an apocalyptic number.

It is an amenable number.

2001001011012 is an abundant number, since it is smaller than the sum of its proper divisors (3297694205628).

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

2001001011012 is a wasteful number, since it uses less digits than its factorization.

2001001011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39978 (or 39970 counting only the distinct ones).

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

Adding to 2001001011012 its reverse (2101101001002), we get a palindrome (4102102012014).

The spelling of 2001001011012 in words is "two trillion, one billion, one million, eleven thousand, twelve".