102012311320 has 128 divisors (see below), whose sum is σ = 241182720000. Its totient is φ = 38785443840.

The previous prime is 102012311293. The next prime is 102012311329. The reversal of 102012311320 is 23113210201.

It is a junction number, because it is equal to n+sod(n) for n = 102012311294 and 102012311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012311329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19491424 + ... + 19496656.

It is an arithmetic number, because the mean of its divisors is an integer number (1884240000).

Almost surely, 2^102012311320 is an apocalyptic number.

102012311320 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 102012311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120591360000).

102012311320 is an abundant number, since it is smaller than the sum of its proper divisors (139170408680).

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

102012311320 is a wasteful number, since it uses less digits than its factorization.

102012311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102012311320 its reverse (23113210201), we get a palindrome (125125521521).

The spelling of 102012311320 in words is "one hundred two billion, twelve million, three hundred eleven thousand, three hundred twenty".