414144132201101 has 8 divisors (see below), whose sum is σ = 414340172062200. Its totient is φ = 413948126115328.

The previous prime is 414144132201091. The next prime is 414144132201119. The reversal of 414144132201101 is 101102231441414.

It can be written as a sum of positive squares in 4 ways, for example, as 260074000776100 + 154070131425001 = 16126810^2 + 12412499^2 .

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 414144132201101 - 2³⁸ = 413869254294157 is a prime.

It is a super-2 number, since 2×414144132201101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144132201001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16102325 + ... + 32978373.

It is an arithmetic number, because the mean of its divisors is an integer number (51792521507775).

Almost surely, 2^{414144132201101} is an apocalyptic number.

It is an amenable number.

414144132201101 is a deficient number, since it is larger than the sum of its proper divisors (196039861099).

414144132201101 is a wasteful number, since it uses less digits than its factorization.

414144132201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16887663.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 414144132201101 its reverse (101102231441414), we get a palindrome (515246363642515).

The spelling of 414144132201101 in words is "four hundred fourteen trillion, one hundred forty-four billion, one hundred thirty-two million, two hundred one thousand, one hundred one".