2001135525121 has 16 divisors (see below), whose sum is σ = 2029582552320. Its totient is φ = 1972863692800.

The previous prime is 2001135525047. The next prime is 2001135525139. The reversal of 2001135525121 is 1215255311002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2001135525121 - 2³¹ = 1998988041473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001135525121.

It is not an unprimeable number, because it can be changed into a prime (2001135525161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75962970 + ... + 75989308.

It is an arithmetic number, because the mean of its divisors is an integer number (126848909520).

Almost surely, 2^{2001135525121} is an apocalyptic number.

It is an amenable number.

2001135525121 is a deficient number, since it is larger than the sum of its proper divisors (28447027199).

2001135525121 is a wasteful number, since it uses less digits than its factorization.

2001135525121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29624.

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 2001135525121 in words is "two trillion, one billion, one hundred thirty-five million, five hundred twenty-five thousand, one hundred twenty-one".