2101523973120 has 1584 divisors, whose sum is σ = 8752455828480. Its totient is φ = 463053127680.

The previous prime is 2101523973061. The next prime is 2101523973163. The reversal of 2101523973120 is 213793251012.

It is a happy number.

2101523973120 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 523 + 9 + 7 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5726223177 + ... + 5726223543.

Almost surely, 2^{2101523973120} is an apocalyptic number.

2101523973120 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 2101523973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376227914240).

2101523973120 is an abundant number, since it is smaller than the sum of its proper divisors (6650931855360).

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

2101523973120 is a wasteful number, since it uses less digits than its factorization.

2101523973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 2101523973120 in words is "two trillion, one hundred one billion, five hundred twenty-three million, nine hundred seventy-three thousand, one hundred twenty".