2100953088000 has 1008 divisors, whose sum is σ = 8216838944496. Its totient is φ = 513382809600.

The previous prime is 2100953087921. The next prime is 2100953088001. The reversal of 2100953088000 is 8803590012.

It can be written as a sum of positive squares in 8 ways, for example, as 990677827584 + 1110275260416 = 995328^2 + 1053696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2100953088001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15335423932 + ... + 15335424068.

It is an arithmetic number, because the mean of its divisors is an integer number (8151625937).

Almost surely, 2^{2100953088000} is an apocalyptic number.

2100953088000 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 2100953088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108419472248).

2100953088000 is an abundant number, since it is smaller than the sum of its proper divisors (6115885856496).

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

2100953088000 is an frugal number, since it uses more digits than its factorization.

2100953088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2100953088000 in words is "two trillion, one hundred billion, nine hundred fifty-three million, eighty-eight thousand".