2001100120020 has 96 divisors (see below), whose sum is σ = 6226206819840. Its totient is φ = 533578527360.

The previous prime is 2001100119929. The next prime is 2001100120049. The reversal of 2001100120020 is 200210011002.

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 = 2001100119984 and 2001100120011.

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, 6032814 + ... + 6355866.

It is an arithmetic number, because the mean of its divisors is an integer number (64856321040).

Almost surely, 2^{2001100120020} is an apocalyptic number.

2001100120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001100120020 is an abundant number, since it is smaller than the sum of its proper divisors (4225106699820).

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

2001100120020 is a wasteful number, since it uses less digits than its factorization.

2001100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334542 (or 334534 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001100120020 its reverse (200210011002), we get a palindrome (2201310131022).

The spelling of 2001100120020 in words is "two trillion, one billion, one hundred million, one hundred twenty thousand, twenty".