2001121110020 has 24 divisors (see below), whose sum is σ = 4202567648664. Its totient is φ = 800407812096.

The previous prime is 2001121110017. The next prime is 2001121110031. The reversal of 2001121110020 is 200111211002.

It can be written as a sum of positive squares in 4 ways, for example, as 66284621764 + 1934836488256 = 257458^2 + 1390984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001121109983 and 2001121110010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134067 + ... + 2925146.

It is an arithmetic number, because the mean of its divisors is an integer number (175106985361).

Almost surely, 2^{2001121110020} is an apocalyptic number.

2001121110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001121110020 is an abundant number, since it is smaller than the sum of its proper divisors (2201446538644).

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

2001121110020 is a wasteful number, since it uses less digits than its factorization.

2001121110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078999 (or 5078997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001121110020 its reverse (200111211002), we get a palindrome (2201232321022).

The spelling of 2001121110020 in words is "two trillion, one billion, one hundred twenty-one million, one hundred ten thousand, twenty".