10141334120001 has 48 divisors (see below), whose sum is σ = 16290340116480. Its totient is φ = 5591865111840.

The previous prime is 10141334119991. The next prime is 10141334120017. The reversal of 10141334120001 is 10002143314101.

It is not a de Polignac number, because 10141334120001 - 2¹⁴ = 10141334103617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10141334120001.

It is not an unprimeable number, because it can be changed into a prime (10141334121001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9846391 + ... + 10827468.

It is an arithmetic number, because the mean of its divisors is an integer number (339382085760).

Almost surely, 2^{10141334120001} is an apocalyptic number.

It is an amenable number.

10141334120001 is a deficient number, since it is larger than the sum of its proper divisors (6149005996479).

10141334120001 is a wasteful number, since it uses less digits than its factorization.

10141334120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20673994 (or 20673987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10141334120001 its reverse (10002143314101), we get a palindrome (20143477434102).

The spelling of 10141334120001 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-four million, one hundred twenty thousand, one".