2101133555712 has 144 divisors (see below), whose sum is σ = 6109195365000. Its totient is φ = 695676420096.

The previous prime is 2101133555701. The next prime is 2101133555713. The reversal of 2101133555712 is 2175553311012.

2101133555712 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 1 + 33 + 55 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101133555713) 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 11 ways as a sum of consecutive naturals, for example, 2363839 + ... + 3128897.

Almost surely, 2^{2101133555712} 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 2101133555712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054597682500).

2101133555712 is an abundant number, since it is smaller than the sum of its proper divisors (4008061809288).

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

2101133555712 is a wasteful number, since it uses less digits than its factorization.

2101133555712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765236 (or 765213 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

Adding to 2101133555712 its reverse (2175553311012), we get a palindrome (4276686866724).

The spelling of 2101133555712 in words is "two trillion, one hundred one billion, one hundred thirty-three million, five hundred fifty-five thousand, seven hundred twelve".