2001112122020 has 96 divisors (see below), whose sum is σ = 4682580295680. Its totient is φ = 712092026240.

The previous prime is 2001112122011. The next prime is 2001112122143. The reversal of 2001112122020 is 202212111002.

It is a junction number, because it is equal to n+sod(n) for n = 2001112121986 and 2001112122004.

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, 134484941 + ... + 134499819.

It is an arithmetic number, because the mean of its divisors is an integer number (48776878080).

Almost surely, 2^{2001112122020} is an apocalyptic number.

2001112122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001112122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341290147840).

2001112122020 is an abundant number, since it is smaller than the sum of its proper divisors (2681468173660).

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

2001112122020 is a wasteful number, since it uses less digits than its factorization.

2001112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27953 (or 27951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001112122020 its reverse (202212111002), we get a palindrome (2203324233022).

The spelling of 2001112122020 in words is "two trillion, one billion, one hundred twelve million, one hundred twenty-two thousand, twenty".