2101338197712 has 320 divisors, whose sum is σ = 7058037145600. Its totient is φ = 592775677440.

The previous prime is 2101338197711. The next prime is 2101338197741. The reversal of 2101338197712 is 2177918331012.

2101338197712 is a `hidden beast` number, since 210 + 1 + 338 + 1 + 97 + 7 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101338197711) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2990193 + ... + 3625455.

It is an arithmetic number, because the mean of its divisors is an integer number (22056366080).

Almost surely, 2^{2101338197712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101338197712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529018572800).

2101338197712 is an abundant number, since it is smaller than the sum of its proper divisors (4956698947888).

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

2101338197712 is a wasteful number, since it uses less digits than its factorization.

2101338197712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635343 (or 635331 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 2101338197712 in words is "two trillion, one hundred one billion, three hundred thirty-eight million, one hundred ninety-seven thousand, seven hundred twelve".