101311021104444 has 144 divisors (see below), whose sum is σ = 259772778720000. Its totient is φ = 33288532098048.

The previous prime is 101311021104421. The next prime is 101311021104497. The reversal of 101311021104444 is 444401120113101.

101311021104444 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 1 + 0 + 211 + 0 + 4 + 444 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2584511157 + ... + 2584550355.

It is an arithmetic number, because the mean of its divisors is an integer number (1803977630000).

Almost surely, 2^{101311021104444} is an apocalyptic number.

It is an amenable number.

101311021104444 is an abundant number, since it is smaller than the sum of its proper divisors (158461757615556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311021104444 is a wasteful number, since it uses less digits than its factorization.

101311021104444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43012 (or 43007 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 101311021104444 its reverse (444401120113101), we get a palindrome (545712141217545).

The spelling of 101311021104444 in words is "one hundred one trillion, three hundred eleven billion, twenty-one million, one hundred four thousand, four hundred forty-four".