102132233320 has 128 divisors (see below), whose sum is σ = 251352460800. Its totient is φ = 37122269184.

The previous prime is 102132233317. The next prime is 102132233341. The reversal of 102132233320 is 23332231201.

It is a junction number, because it is equal to n+sod(n) for n = 102132233291 and 102132233300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14497719 + ... + 14504761.

It is an arithmetic number, because the mean of its divisors is an integer number (1963691100).

Almost surely, 2^102132233320 is an apocalyptic number.

102132233320 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 102132233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125676230400).

102132233320 is an abundant number, since it is smaller than the sum of its proper divisors (149220227480).

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

102132233320 is a wasteful number, since it uses less digits than its factorization.

102132233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 102132233320 its reverse (23332231201), we get a palindrome (125464464521).

The spelling of 102132233320 in words is "one hundred two billion, one hundred thirty-two million, two hundred thirty-three thousand, three hundred twenty".