101444444101 has 16 divisors (see below), whose sum is σ = 136205129088. Its totient is φ = 72967032000.

The previous prime is 101444444089. The next prime is 101444444107.

It is a happy number.

101444444101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101444444101 - 2¹³ = 101444435909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101444444101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101444444107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50670550 + ... + 50672551.

It is an arithmetic number, because the mean of its divisors is an integer number (8512820568).

Almost surely, 2^101444444101 is an apocalyptic number.

101444444101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101444444101 is a deficient number, since it is larger than the sum of its proper divisors (34760684987).

101444444101 is a wasteful number, since it uses less digits than its factorization.

101444444101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101343132.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 101444 and 444101, that added together give a palindrome (545545).

The spelling of 101444444101 in words is "one hundred one billion, four hundred forty-four million, four hundred forty-four thousand, one hundred one".