102124217340 has 192 divisors, whose sum is σ = 320025323520. Its totient is φ = 27036253440.

The previous prime is 102124217323. The next prime is 102124217341. The reversal of 102124217340 is 43712421201.

102124217340 is a `hidden beast` number, since 102 + 1 + 2 + 4 + 217 + 340 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124217341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52831014 + ... + 52832946.

It is an arithmetic number, because the mean of its divisors is an integer number (1666798560).

Almost surely, 2^102124217340 is an apocalyptic number.

102124217340 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 102124217340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160012661760).

102124217340 is an abundant number, since it is smaller than the sum of its proper divisors (217901106180).

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

102124217340 is a wasteful number, since it uses less digits than its factorization.

102124217340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 102124217340 its reverse (43712421201), we get a palindrome (145836638541).

The spelling of 102124217340 in words is "one hundred two billion, one hundred twenty-four million, two hundred seventeen thousand, three hundred forty".