2102100110020 has 24 divisors (see below), whose sum is σ = 4431586935384. Its totient is φ = 837568290816.

The previous prime is 2102100110009. The next prime is 2102100110069. The reversal of 2102100110020 is 200110012012.

It can be written as a sum of positive squares in 4 ways, for example, as 1023460002244 + 1078640107776 = 1011662^2 + 1038576^2 .

It is a super-2 number, since 2×2102100110020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2102100109979 and 2102100110006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204479307 + ... + 204489586.

It is an arithmetic number, because the mean of its divisors is an integer number (184649455641).

Almost surely, 2^{2102100110020} is an apocalyptic number.

2102100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100110020 is an abundant number, since it is smaller than the sum of its proper divisors (2329486825364).

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

2102100110020 is a wasteful number, since it uses less digits than its factorization.

2102100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408969159 (or 408969157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2102100110020 its reverse (200110012012), we get a palindrome (2302210122032).

The spelling of 2102100110020 in words is "two trillion, one hundred two billion, one hundred million, one hundred ten thousand, twenty".