2100011020200 has 576 divisors, whose sum is σ = 7658715168000. Its totient is φ = 513865451520.

The previous prime is 2100011020199. The next prime is 2100011020223. The reversal of 2100011020200 is 20201100012.

It is a super-3 number, since 3×2100011020200³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 143 ways as a sum of consecutive naturals, for example, 289772977 + ... + 289780223.

It is an arithmetic number, because the mean of its divisors is an integer number (13296380500).

Almost surely, 2^{2100011020200} is an apocalyptic number.

2100011020200 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 2100011020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829357584000).

2100011020200 is an abundant number, since it is smaller than the sum of its proper divisors (5558704147800).

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

2100011020200 is a wasteful number, since it uses less digits than its factorization.

2100011020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100011020200 its reverse (20201100012), we get a palindrome (2120212120212).

The spelling of 2100011020200 in words is "two trillion, one hundred billion, eleven million, twenty thousand, two hundred".