101414111442441 has 32 divisors (see below), whose sum is σ = 155225148211200. Its totient is φ = 57692544719040.

The previous prime is 101414111442367. The next prime is 101414111442481. The reversal of 101414111442441 is 144244111414101.

It is not a de Polignac number, because 101414111442441 - 2²⁵ = 101414077888009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101414111442481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15441555 + ... + 21006423.

It is an arithmetic number, because the mean of its divisors is an integer number (4850785881600).

Almost surely, 2^{101414111442441} is an apocalyptic number.

It is an amenable number.

101414111442441 is a deficient number, since it is larger than the sum of its proper divisors (53811036768759).

101414111442441 is a wasteful number, since it uses less digits than its factorization.

101414111442441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568749.

The product of its (nonzero) digits is 8192, while the sum is 33.

Adding to 101414111442441 its reverse (144244111414101), we get a palindrome (245658222856542).

The spelling of 101414111442441 in words is "one hundred one trillion, four hundred fourteen billion, one hundred eleven million, four hundred forty-two thousand, four hundred forty-one".