102210321123120 has 240 divisors, whose sum is σ = 368594437919328. Its totient is φ = 23361629921280.

The previous prime is 102210321123101. The next prime is 102210321123143. The reversal of 102210321123120 is 21321123012201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 436378840 + ... + 436613000.

Almost surely, 2^{102210321123120} is an apocalyptic number.

102210321123120 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 102210321123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184297218959664).

102210321123120 is an abundant number, since it is smaller than the sum of its proper divisors (266384116796208).

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

102210321123120 is a wasteful number, since it uses less digits than its factorization.

102210321123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271308 (or 271295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102210321123120 its reverse (21321123012201), we get a palindrome (123531444135321).

The spelling of 102210321123120 in words is "one hundred two trillion, two hundred ten billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty".