2100111020000 has 480 divisors, whose sum is σ = 6091258973184. Its totient is φ = 697536000000.

The previous prime is 2100111019997. The next prime is 2100111020003. The reversal of 2100111020000 is 201110012.

It is an interprime number because it is at equal distance from previous prime (2100111019997) and next prime (2100111020003).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2100111020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100111020003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 866738789 + ... + 866741211.

Almost surely, 2^{2100111020000} is an apocalyptic number.

2100111020000 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 2100111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045629486592).

2100111020000 is an abundant number, since it is smaller than the sum of its proper divisors (3991147953184).

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

2100111020000 is a wasteful number, since it uses less digits than its factorization.

2100111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2629 counting only the distinct ones).

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

Adding to 2100111020000 its reverse (201110012), we get a palindrome (2100312130012).

The spelling of 2100111020000 in words is "two trillion, one hundred billion, one hundred eleven million, twenty thousand".