2001101220112 has 80 divisors (see below), whose sum is σ = 4181396123520. Its totient is φ = 924624460800.

The previous prime is 2001101220077. The next prime is 2001101220161. The reversal of 2001101220112 is 2110221011002.

It is a junction number, because it is equal to n+sod(n) for n = 2001101220092 and 2001101220101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147230437 + ... + 147244027.

It is an arithmetic number, because the mean of its divisors is an integer number (52267451544).

Almost surely, 2^{2001101220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001101220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090698061760).

2001101220112 is an abundant number, since it is smaller than the sum of its proper divisors (2180294903408).

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

2001101220112 is a wasteful number, since it uses less digits than its factorization.

2001101220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 25466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001101220112 its reverse (2110221011002), we get a palindrome (4111322231114).

The spelling of 2001101220112 in words is "two trillion, one billion, one hundred one million, two hundred twenty thousand, one hundred twelve".