102124011333120 has 640 divisors, whose sum is σ = 381179345817600. Its totient is φ = 22838587686912.

The previous prime is 102124011333053. The next prime is 102124011333131. The reversal of 102124011333120 is 21333110421201.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12656336446 + ... + 12656344514.

It is an arithmetic number, because the mean of its divisors is an integer number (595592727840).

Almost surely, 2^{102124011333120} is an apocalyptic number.

102124011333120 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 102124011333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190589672908800).

102124011333120 is an abundant number, since it is smaller than the sum of its proper divisors (279055334484480).

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

102124011333120 is an equidigital number, since it uses as much as digits as its factorization.

102124011333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13158 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102124011333120 its reverse (21333110421201), we get a palindrome (123457121754321).

The spelling of 102124011333120 in words is "one hundred two trillion, one hundred twenty-four billion, eleven million, three hundred thirty-three thousand, one hundred twenty".