201414058121 has 16 divisors (see below), whose sum is σ = 209081658240. Its totient is φ = 193795768320.

The previous prime is 201414058061. The next prime is 201414058147. The reversal of 201414058121 is 121850414102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201414058121 - 2²² = 201409863817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201414058721) 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, 10342025 + ... + 10361481.

It is an arithmetic number, because the mean of its divisors is an integer number (13067603640).

Almost surely, 2^201414058121 is an apocalyptic number.

It is an amenable number.

201414058121 is a deficient number, since it is larger than the sum of its proper divisors (7667600119).

201414058121 is a wasteful number, since it uses less digits than its factorization.

201414058121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20704.

The product of its (nonzero) digits is 2560, while the sum is 29.

The spelling of 201414058121 in words is "two hundred one billion, four hundred fourteen million, fifty-eight thousand, one hundred twenty-one".