101440214304 has 192 divisors, whose sum is σ = 319491164160. Its totient is φ = 27770987520.

The previous prime is 101440214299. The next prime is 101440214339. The reversal of 101440214304 is 403412044101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 566607 + ... + 723825.

It is an arithmetic number, because the mean of its divisors is an integer number (1664016480).

Almost surely, 2^101440214304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101440214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159745582080).

101440214304 is an abundant number, since it is smaller than the sum of its proper divisors (218050949856).

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

101440214304 is a wasteful number, since it uses less digits than its factorization.

101440214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157303 (or 157295 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101440214304 its reverse (403412044101), we get a palindrome (504852258405).

The spelling of 101440214304 in words is "one hundred one billion, four hundred forty million, two hundred fourteen thousand, three hundred four".