2001100010112 has 192 divisors, whose sum is σ = 6582210111360. Its totient is φ = 571637606400.

The previous prime is 2001100010081. The next prime is 2001100010159. The reversal of 2001100010112 is 2110100011002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2001100010094 and 2001100010103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50791573 + ... + 50830955.

It is an arithmetic number, because the mean of its divisors is an integer number (34282344330).

Almost surely, 2^{2001100010112} 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 2001100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291105055680).

2001100010112 is an abundant number, since it is smaller than the sum of its proper divisors (4581110101248).

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

2001100010112 is a wasteful number, since it uses less digits than its factorization.

2001100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45711 (or 45696 counting only the distinct ones).

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

Adding to 2001100010112 its reverse (2110100011002), we get a palindrome (4111200021114).

The spelling of 2001100010112 in words is "two trillion, one billion, one hundred million, ten thousand, one hundred twelve".