102213123120 has 240 divisors, whose sum is σ = 357855024384. Its totient is φ = 26115840000.

The previous prime is 102213123097. The next prime is 102213123139. The reversal of 102213123120 is 21321312201.

102213123120 is a `hidden beast` number, since 10 + 221 + 312 + 3 + 120 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 102213123093 and 102213123102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231650 + ... + 2276990.

Almost surely, 2^102213123120 is an apocalyptic number.

102213123120 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 102213123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178927512192).

102213123120 is an abundant number, since it is smaller than the sum of its proper divisors (255641901264).

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

102213123120 is a wasteful number, since it uses less digits than its factorization.

102213123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45492 (or 45483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102213123120 its reverse (21321312201), we get a palindrome (123534435321).

The spelling of 102213123120 in words is "one hundred two billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".