2102001100020 has 144 divisors (see below), whose sum is σ = 6512577926400. Its totient is φ = 548536036608.

The previous prime is 2102001100009. The next prime is 2102001100079. The reversal of 2102001100020 is 200011002012.

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 = 2102001099975 and 2102001100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106696131 + ... + 106715829.

It is an arithmetic number, because the mean of its divisors is an integer number (45226235600).

Almost surely, 2^{2102001100020} is an apocalyptic number.

2102001100020 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 2102001100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256288963200).

2102001100020 is an abundant number, since it is smaller than the sum of its proper divisors (4410576826380).

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

2102001100020 is a wasteful number, since it uses less digits than its factorization.

2102001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32374 (or 32369 counting only the distinct ones).

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

Adding to 2102001100020 its reverse (200011002012), we get a palindrome (2302012102032).

The spelling of 2102001100020 in words is "two trillion, one hundred two billion, one million, one hundred thousand, twenty".