2101021100000 has 288 divisors, whose sum is σ = 5241378717792. Its totient is φ = 828921600000.

The previous prime is 2101021099997. The next prime is 2101021100011. The reversal of 2101021100000 is 11201012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2559099590 + ... + 2559100410.

It is an arithmetic number, because the mean of its divisors is an integer number (18199231659).

Almost surely, 2^{2101021100000} is an apocalyptic number.

2101021100000 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 2101021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620689358896).

2101021100000 is an abundant number, since it is smaller than the sum of its proper divisors (3140357617792).

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

2101021100000 is an equidigital number, since it uses as much as digits as its factorization.

2101021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101021100000 its reverse (11201012), we get a palindrome (2101032301012).

The spelling of 2101021100000 in words is "two trillion, one hundred one billion, twenty-one million, one hundred thousand".