102133323120 has 160 divisors (see below), whose sum is σ = 318836736000. Its totient is φ = 27044964352.

The previous prime is 102133323091. The next prime is 102133323157. The reversal of 102133323120 is 21323331201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21966556 + ... + 21971204.

It is an arithmetic number, because the mean of its divisors is an integer number (1992729600).

Almost surely, 2^102133323120 is an apocalyptic number.

102133323120 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 102133323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159418368000).

102133323120 is an abundant number, since it is smaller than the sum of its proper divisors (216703412880).

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

102133323120 is a wasteful number, since it uses less digits than its factorization.

102133323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102133323120 its reverse (21323331201), we get a palindrome (123456654321).

It can be divided in two parts, 10213 and 3323120, that added together give a palindrome (3333333).

The spelling of 102133323120 in words is "one hundred two billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty".