2001414101301 has 192 divisors, whose sum is σ = 3311350848000. Its totient is φ = 1161386035200.

The previous prime is 2001414101287. The next prime is 2001414101311. The reversal of 2001414101301 is 1031014141002.

2001414101301 is a `hidden beast` number, since 200 + 1 + 41 + 410 + 13 + 0 + 1 = 666.

It is not a de Polignac number, because 2001414101301 - 2⁷ = 2001414101173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001414101311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8739799455 + ... + 8739799683.

It is an arithmetic number, because the mean of its divisors is an integer number (17246619000).

Almost surely, 2^{2001414101301} is an apocalyptic number.

It is an amenable number.

2001414101301 is a deficient number, since it is larger than the sum of its proper divisors (1309936746699).

2001414101301 is a wasteful number, since it uses less digits than its factorization.

2001414101301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2001414101301 its reverse (1031014141002), we get a palindrome (3032428242303).

The spelling of 2001414101301 in words is "two trillion, one billion, four hundred fourteen million, one hundred one thousand, three hundred one".