2101330031200 has 144 divisors (see below), whose sum is σ = 5245666380864. Its totient is φ = 821604454400.

The previous prime is 2101330031197. The next prime is 2101330031237. The reversal of 2101330031200 is 21300331012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29932140 + ... + 30002260.

It is an arithmetic number, because the mean of its divisors is an integer number (36428238756).

Almost surely, 2^{2101330031200} is an apocalyptic number.

2101330031200 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 2101330031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622833190432).

2101330031200 is an abundant number, since it is smaller than the sum of its proper divisors (3144336349664).

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

2101330031200 is a wasteful number, since it uses less digits than its factorization.

2101330031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70985 (or 70972 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2101330031200 its reverse (21300331012), we get a palindrome (2122630362212).

The spelling of 2101330031200 in words is "two trillion, one hundred one billion, three hundred thirty million, thirty-one thousand, two hundred".