102872001024 has 640 divisors, whose sum is σ = 342738063360. Its totient is φ = 30636195840.

The previous prime is 102872001019. The next prime is 102872001149. The reversal of 102872001024 is 420100278201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 538596769 + ... + 538596959.

It is an arithmetic number, because the mean of its divisors is an integer number (535528224).

Almost surely, 2^102872001024 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 102872001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171369031680).

102872001024 is an abundant number, since it is smaller than the sum of its proper divisors (239866062336).

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

102872001024 is an frugal number, since it uses more digits than its factorization.

102872001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 102872001024 its reverse (420100278201), we get a palindrome (522972279225).

The spelling of 102872001024 in words is "one hundred two billion, eight hundred seventy-two million, one thousand, twenty-four".