102424224232120 has 256 divisors, whose sum is σ = 265896590319360. Its totient is φ = 34782791565312.

The previous prime is 102424224232111. The next prime is 102424224232123. The reversal of 102424224232120 is 21232422424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424224232123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13625674602 + ... + 13625682118.

It is an arithmetic number, because the mean of its divisors is an integer number (1038658555935).

Almost surely, 2^{102424224232120} is an apocalyptic number.

102424224232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102424224232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132948295159680).

102424224232120 is an abundant number, since it is smaller than the sum of its proper divisors (163472366087240).

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

102424224232120 is a wasteful number, since it uses less digits than its factorization.

102424224232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 102424224232120 its reverse (21232422424201), we get a palindrome (123656646656321).

The spelling of 102424224232120 in words is "one hundred two trillion, four hundred twenty-four billion, two hundred twenty-four million, two hundred thirty-two thousand, one hundred twenty".