2101100775200 has 144 divisors (see below), whose sum is σ = 5942374663680. Its totient is φ = 710509086720.

The previous prime is 2101100775167. The next prime is 2101100775203. The reversal of 2101100775200 is 25770011012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101100775200.

It is not an unprimeable number, because it can be changed into a prime (2101100775203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2161040 + ... + 2978639.

It is an arithmetic number, because the mean of its divisors is an integer number (41266490720).

Almost surely, 2^{2101100775200} is an apocalyptic number.

2101100775200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101100775200 is an abundant number, since it is smaller than the sum of its proper divisors (3841273888480).

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

2101100775200 is a wasteful number, since it uses less digits than its factorization.

2101100775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139779 (or 5139766 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 2101100775200 its reverse (25770011012), we get a palindrome (2126870786212).

The spelling of 2101100775200 in words is "two trillion, one hundred one billion, one hundred million, seven hundred seventy-five thousand, two hundred".