102101434224 has 160 divisors (see below), whose sum is σ = 279794592000. Its totient is φ = 31993823232.

The previous prime is 102101434213. The next prime is 102101434231. The reversal of 102101434224 is 422434101201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102101434194 and 102101434203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132771312 + ... + 132772080.

It is an arithmetic number, because the mean of its divisors is an integer number (1748716200).

Almost surely, 2^102101434224 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 102101434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139897296000).

102101434224 is an abundant number, since it is smaller than the sum of its proper divisors (177693157776).

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

102101434224 is a wasteful number, since it uses less digits than its factorization.

102101434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

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

Adding to 102101434224 its reverse (422434101201), we get a palindrome (524535535425).

The spelling of 102101434224 in words is "one hundred two billion, one hundred one million, four hundred thirty-four thousand, two hundred twenty-four".