2101380019200 has 3168 divisors, whose sum is σ = 10058314226688. Its totient is φ = 422019072000.

The previous prime is 2101380019181. The next prime is 2101380019259. The reversal of 2101380019200 is 29100831012.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19639065547 + ... + 19639065653.

Almost surely, 2^{2101380019200} is an apocalyptic number.

2101380019200 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 2101380019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029157113344).

2101380019200 is an abundant number, since it is smaller than the sum of its proper divisors (7956934207488).

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

2101380019200 is a wasteful number, since it uses less digits than its factorization.

2101380019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 2101380019200 in words is "two trillion, one hundred one billion, three hundred eighty million, nineteen thousand, two hundred".