2102011012200 has 768 divisors, whose sum is σ = 7666120765440. Its totient is φ = 470790144000.

The previous prime is 2102011012147. The next prime is 2102011012249. The reversal of 2102011012200 is 22101102012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2219652127 + ... + 2219653073.

It is an arithmetic number, because the mean of its divisors is an integer number (9981928080).

Almost surely, 2^{2102011012200} is an apocalyptic number.

2102011012200 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 2102011012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833060382720).

2102011012200 is an abundant number, since it is smaller than the sum of its proper divisors (5564109753240).

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

2102011012200 is a wasteful number, since it uses less digits than its factorization.

2102011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102011012200 its reverse (22101102012), we get a palindrome (2124112114212).

The spelling of 2102011012200 in words is "two trillion, one hundred two billion, eleven million, twelve thousand, two hundred".