2101100203020 has 576 divisors, whose sum is σ = 7736500961280. Its totient is φ = 424004765184.

The previous prime is 2101100202989. The next prime is 2101100203063. The reversal of 2101100203020 is 203020011012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101100202987 and 2101100203005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148554069 + ... + 148568211.

It is an arithmetic number, because the mean of its divisors is an integer number (13431425280).

Almost surely, 2^{2101100203020} is an apocalyptic number.

2101100203020 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 2101100203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868250480640).

2101100203020 is an abundant number, since it is smaller than the sum of its proper divisors (5635400758260).

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

2101100203020 is a wasteful number, since it uses less digits than its factorization.

2101100203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14196 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2101100203020 its reverse (203020011012), we get a palindrome (2304120214032).

The spelling of 2101100203020 in words is "two trillion, one hundred one billion, one hundred million, two hundred three thousand, twenty".