2100002110020 has 72 divisors (see below), whose sum is σ = 6380330897304. Its totient is φ = 559092914688.

The previous prime is 2100002110007. The next prime is 2100002110043. The reversal of 2100002110020 is 200112000012.

It can be written as a sum of positive squares in 4 ways, for example, as 235450093824 + 1864552016196 = 485232^2 + 1365486^2 .

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 = 2100002109984 and 2100002110011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9343299 + ... + 9565418.

It is an arithmetic number, because the mean of its divisors is an integer number (88615706907).

Almost surely, 2^{2100002110020} is an apocalyptic number.

2100002110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100002110020 is an abundant number, since it is smaller than the sum of its proper divisors (4280328787284).

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

2100002110020 is a wasteful number, since it uses less digits than its factorization.

2100002110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18909349 (or 18909344 counting only the distinct ones).

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

Adding to 2100002110020 its reverse (200112000012), we get a palindrome (2300114110032).

The spelling of 2100002110020 in words is "two trillion, one hundred billion, two million, one hundred ten thousand, twenty".