2100111102000 has 480 divisors, whose sum is σ = 7580685805056. Its totient is φ = 541513728000.

The previous prime is 2100111101971. The next prime is 2100111102071. The reversal of 2100111102000 is 2011110012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83381409 + ... + 83406591.

Almost surely, 2^{2100111102000} is an apocalyptic number.

2100111102000 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 2100111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790342902528).

2100111102000 is an abundant number, since it is smaller than the sum of its proper divisors (5480574703056).

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

2100111102000 is a wasteful number, since it uses less digits than its factorization.

2100111102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100111102000 its reverse (2011110012), we get a palindrome (2102122212012).

The spelling of 2100111102000 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred two thousand".