102132322320 has 160 divisors (see below), whose sum is σ = 362434159872. Its totient is φ = 23306213376.

The previous prime is 102132322309. The next prime is 102132322337. The reversal of 102132322320 is 23223231201.

It is a happy number.

It is a super-2 number, since 2×102132322320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 980254 + ... + 1079426.

Almost surely, 2^102132322320 is an apocalyptic number.

102132322320 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 102132322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181217079936).

102132322320 is an abundant number, since it is smaller than the sum of its proper divisors (260301837552).

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

102132322320 is a wasteful number, since it uses less digits than its factorization.

102132322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99809 (or 99803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102132322320 its reverse (23223231201), we get a palindrome (125355553521).

The spelling of 102132322320 in words is "one hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty".