2102101211000 has 256 divisors, whose sum is σ = 5806223804160. Its totient is φ = 697426329600.

The previous prime is 2102101210997. The next prime is 2102101211033. The reversal of 2102101211000 is 1121012012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27044192 + ... + 27121808.

It is an arithmetic number, because the mean of its divisors is an integer number (22680561735).

Almost surely, 2^{2102101211000} is an apocalyptic number.

2102101211000 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 2102101211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903111902080).

2102101211000 is an abundant number, since it is smaller than the sum of its proper divisors (3704122593160).

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

2102101211000 is a wasteful number, since it uses less digits than its factorization.

2102101211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77771 (or 77757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102101211000 its reverse (1121012012), we get a palindrome (2103222223012).

The spelling of 2102101211000 in words is "two trillion, one hundred two billion, one hundred one million, two hundred eleven thousand".