201042214334241 has 16 divisors (see below), whose sum is σ = 307232894045184. Its totient is φ = 114550195400784.

The previous prime is 201042214334201. The next prime is 201042214334263. The reversal of 201042214334241 is 142433412240102.

201042214334241 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-201042214334241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201042214334201) 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, 13794573085 + ... + 13794587658.

It is an arithmetic number, because the mean of its divisors is an integer number (19202055877824).

Almost surely, 2^{201042214334241} is an apocalyptic number.

201042214334241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201042214334241 is a deficient number, since it is larger than the sum of its proper divisors (106190679710943).

201042214334241 is a wasteful number, since it uses less digits than its factorization.

201042214334241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27589161100.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 201042214334241 its reverse (142433412240102), we get a palindrome (343475626574343).

The spelling of 201042214334241 in words is "two hundred one trillion, forty-two billion, two hundred fourteen million, three hundred thirty-four thousand, two hundred forty-one".