101514241144004 has 48 divisors (see below), whose sum is σ = 192586057075776. Its totient is φ = 46542543062400.

The previous prime is 101514241143989. The next prime is 101514241144013. The reversal of 101514241144004 is 400441142415101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5878262 + ... + 15413709.

It is an arithmetic number, because the mean of its divisors is an integer number (4012209522412).

Almost surely, 2^{101514241144004} is an apocalyptic number.

It is an amenable number.

101514241144004 is a deficient number, since it is larger than the sum of its proper divisors (91071815931772).

101514241144004 is a wasteful number, since it uses less digits than its factorization.

101514241144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292596 (or 21292594 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 101514241144004 its reverse (400441142415101), we get a palindrome (501955383559105).

The spelling of 101514241144004 in words is "one hundred one trillion, five hundred fourteen billion, two hundred forty-one million, one hundred forty-four thousand, four".