101441114033 has 24 divisors (see below), whose sum is σ = 121580199720. Its totient is φ = 84338177280.

The previous prime is 101441114017. The next prime is 101441114041. The reversal of 101441114033 is 330411144101.

It can be written as a sum of positive squares in 4 ways, for example, as 8140189729 + 93300924304 = 90223^2 + 305452^2 .

It is not a de Polignac number, because 101441114033 - 2⁴ = 101441114017 is a prime.

It is a super-2 number, since 2×101441114033² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101441114053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201623 + ... + 493491.

It is an arithmetic number, because the mean of its divisors is an integer number (5065841655).

Almost surely, 2^101441114033 is an apocalyptic number.

It is an amenable number.

101441114033 is a deficient number, since it is larger than the sum of its proper divisors (20139085687).

101441114033 is a wasteful number, since it uses less digits than its factorization.

101441114033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292097 (or 292090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101441114033 its reverse (330411144101), we get a palindrome (431852258134).

The spelling of 101441114033 in words is "one hundred one billion, four hundred forty-one million, one hundred fourteen thousand, thirty-three".