101444013121 has 8 divisors (see below), whose sum is σ = 110668550688. Its totient is φ = 92219868000.

The previous prime is 101444013119. The next prime is 101444013137. The reversal of 101444013121 is 121310444101.

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 101444013121 - 2¹ = 101444013119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101444013092 and 101444013101.

It is not an unprimeable number, because it can be changed into a prime (101444013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799366 + ... + 917536.

It is an arithmetic number, because the mean of its divisors is an integer number (13833568836).

Almost surely, 2^101444013121 is an apocalyptic number.

101444013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101444013121 is a deficient number, since it is larger than the sum of its proper divisors (9224537567).

101444013121 is a wasteful number, since it uses less digits than its factorization.

101444013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196223.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101444013121 its reverse (121310444101), we get a palindrome (222754457222).

The spelling of 101444013121 in words is "one hundred one billion, four hundred forty-four million, thirteen thousand, one hundred twenty-one".