101443434412221 has 24 divisors (see below), whose sum is σ = 168263431883040. Its totient is φ = 58245034111200.

The previous prime is 101443434412211. The next prime is 101443434412223. The reversal of 101443434412221 is 122214434344101.

101443434412221 is a `hidden beast` number, since 1 + 0 + 1 + 44 + 343 + 44 + 12 + 221 = 666.

It is not a de Polignac number, because 101443434412221 - 2⁵ = 101443434412189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101443434412223) 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, 26965291690 + ... + 26965295451.

It is an arithmetic number, because the mean of its divisors is an integer number (7010976328460).

Almost surely, 2^{101443434412221} is an apocalyptic number.

101443434412221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101443434412221 is a deficient number, since it is larger than the sum of its proper divisors (66819997470819).

101443434412221 is a wasteful number, since it uses less digits than its factorization.

101443434412221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53930587177 (or 53930587174 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 101443434412221 its reverse (122214434344101), we get a palindrome (223657868756322).

The spelling of 101443434412221 in words is "one hundred one trillion, four hundred forty-three billion, four hundred thirty-four million, four hundred twelve thousand, two hundred twenty-one".