2001101220012 has 48 divisors (see below), whose sum is σ = 4701282066432. Its totient is φ = 662462707200.

The previous prime is 2001101220011. The next prime is 2001101220023. The reversal of 2001101220012 is 2100221011002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2001101220012.

It is not an unprimeable number, because it can be changed into a prime (2001101220011) 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 15 ways as a sum of consecutive naturals, for example, 1872828 + ... + 2740380.

It is an arithmetic number, because the mean of its divisors is an integer number (97943376384).

Almost surely, 2^{2001101220012} is an apocalyptic number.

It is an amenable number.

2001101220012 is an abundant number, since it is smaller than the sum of its proper divisors (2700180846420).

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

2001101220012 is a wasteful number, since it uses less digits than its factorization.

2001101220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868878 (or 868876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001101220012 its reverse (2100221011002), we get a palindrome (4101322231014).

The spelling of 2001101220012 in words is "two trillion, one billion, one hundred one million, two hundred twenty thousand, twelve".