101414411 has 8 divisors (see below), whose sum is σ = 115963104. Its totient is φ = 86880960.

The previous prime is 101414377. The next prime is 101414431. The reversal of 101414411 is 114414101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101414411 - 2¹⁰ = 101413387 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101414411.

It is not an unprimeable number, because it can be changed into a prime (101414431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24191 + ... + 28071.

It is an arithmetic number, because the mean of its divisors is an integer number (14495388).

Almost surely, 2^101414411 is an apocalyptic number.

101414411 is a deficient number, since it is larger than the sum of its proper divisors (14548693).

101414411 is an equidigital number, since it uses as much as digits as its factorization.

101414411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 101414411 is about 10070.4722332173. The cubic root of 101414411 is about 466.3370175906.

Adding to 101414411 its reverse (114414101), we get a palindrome (215828512).

The spelling of 101414411 in words is "one hundred one million, four hundred fourteen thousand, four hundred eleven".