2100211210020 has 384 divisors, whose sum is σ = 7376823336960. Its totient is φ = 433727239680.

The previous prime is 2100211210007. The next prime is 2100211210021. The reversal of 2100211210020 is 200121120012.

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 = 2100211209978 and 2100211210005.

It is not an unprimeable number, because it can be changed into a prime (2100211210021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 537548907 + ... + 537552813.

It is an arithmetic number, because the mean of its divisors is an integer number (19210477440).

Almost surely, 2^{2100211210020} is an apocalyptic number.

2100211210020 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 2100211210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688411668480).

2100211210020 is an abundant number, since it is smaller than the sum of its proper divisors (5276612126940).

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

2100211210020 is a wasteful number, since it uses less digits than its factorization.

2100211210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100211210020 its reverse (200121120012), we get a palindrome (2300332330032).

The spelling of 2100211210020 in words is "two trillion, one hundred billion, two hundred eleven million, two hundred ten thousand, twenty".