102121120311320 has 192 divisors, whose sum is σ = 252848019402720. Its totient is φ = 37092616704000.

The previous prime is 102121120311293. The next prime is 102121120311337. The reversal of 102121120311320 is 23113021121201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102121120311292 and 102121120311301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27356312174 + ... + 27356315906.

Almost surely, 2^{102121120311320} is an apocalyptic number.

102121120311320 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 102121120311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126424009701360).

102121120311320 is an abundant number, since it is smaller than the sum of its proper divisors (150726899091400).

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

102121120311320 is a wasteful number, since it uses less digits than its factorization.

102121120311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102121120311320 its reverse (23113021121201), we get a palindrome (125234141432521).

The spelling of 102121120311320 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, three hundred eleven thousand, three hundred twenty".