10012133121001 has 16 divisors (see below), whose sum is σ = 11041294939200. Its totient is φ = 9002976184000.

The previous prime is 10012133120963. The next prime is 10012133121041.

It is a happy number.

10012133121001 is nontrivially palindromic in base 10.

10012133121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10012133121001 - 2⁹ = 10012133120489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012133121041) 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, 3289786 + ... + 5554003.

It is an arithmetic number, because the mean of its divisors is an integer number (690080933700).

Almost surely, 2^{10012133121001} is an apocalyptic number.

10012133121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012133121001 is a deficient number, since it is larger than the sum of its proper divisors (1029161818199).

10012133121001 is a wasteful number, since it uses less digits than its factorization.

10012133121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844920.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1001213 and 3121001, that added together give a palindrome (4122214).

The spelling of 10012133121001 in words is "ten trillion, twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one".