2100200220000 has 360 divisors, whose sum is σ = 7495903855440. Its totient is φ = 557596800000.

The previous prime is 2100200219951. The next prime is 2100200220007. The reversal of 2100200220000 is 220020012.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100200220007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41194525 + ... + 41245475.

It is an arithmetic number, because the mean of its divisors is an integer number (20821955154).

Almost surely, 2^{2100200220000} is an apocalyptic number.

2100200220000 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 2100200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747951927720).

2100200220000 is an abundant number, since it is smaller than the sum of its proper divisors (5395703635440).

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

2100200220000 is a wasteful number, since it uses less digits than its factorization.

2100200220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51216 (or 51190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2100200220000 its reverse (220020012), we get a palindrome (2100420240012).

The spelling of 2100200220000 in words is "two trillion, one hundred billion, two hundred million, two hundred twenty thousand".