2101000000000 has 400 divisors, whose sum is σ = 5754374410752. Its totient is φ = 760000000000.

The previous prime is 2100999999983. The next prime is 2101000000007. The reversal of 2101000000000 is 1012.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (2101000000007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10999999905 + ... + 11000000095.

Almost surely, 2^{2101000000000} is an apocalyptic number.

2101000000000 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 2101000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877187205376).

2101000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3653374410752).

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

2101000000000 is an frugal number, since it uses more digits than its factorization.

2101000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 2101000000000 its reverse (1012), we get a palindrome (2101000001012).

The spelling of 2101000000000 in words is "two trillion, one hundred one billion", and thus it is an aban number.