2001102201112 has 128 divisors (see below), whose sum is σ = 4394295360000. Its totient is φ = 836570262528.

The previous prime is 2001102201089. The next prime is 2001102201127. The reversal of 2001102201112 is 2111022011002.

It is a junction number, because it is equal to n+sod(n) for n = 2001102201092 and 2001102201101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571905139 + ... + 571908637.

It is an arithmetic number, because the mean of its divisors is an integer number (34330432500).

Almost surely, 2^{2001102201112} 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 2001102201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197147680000).

2001102201112 is an abundant number, since it is smaller than the sum of its proper divisors (2393193158888).

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

2001102201112 is a wasteful number, since it uses less digits than its factorization.

2001102201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4621 counting only the distinct ones).

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

Adding to 2001102201112 its reverse (2111022011002), we get a palindrome (4112124212114).

The spelling of 2001102201112 in words is "two trillion, one billion, one hundred two million, two hundred one thousand, one hundred twelve".