2001101112 has 192 divisors, whose sum is σ = 5818176000. Its totient is φ = 644039424.

The previous prime is 2001101101. The next prime is 2001101117. The reversal of 2001101112 is 2111011002.

It is a happy number.

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 = 2001101094 and 2001101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8372689 + ... + 8372927.

It is an arithmetic number, because the mean of its divisors is an integer number (30303000).

Almost surely, 2^2001101112 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 2001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909088000).

2001101112 is an abundant number, since it is smaller than the sum of its proper divisors (3817074888).

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

2001101112 is a wasteful number, since it uses less digits than its factorization.

2001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

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

The square root of 2001101112 is about 44733.6686624292. The cubic root of 2001101112 is about 1260.1522265060.

Adding to 2001101112 its reverse (2111011002), we get a palindrome (4112112114).

The spelling of 2001101112 in words is "two billion, one million, one hundred one thousand, one hundred twelve".