102132211111332 has 192 divisors, whose sum is σ = 270436313032704. Its totient is φ = 29817521141760.

The previous prime is 102132211111331. The next prime is 102132211111367. The reversal of 102132211111332 is 233111112231201.

It is not an unprimeable number, because it can be changed into a prime (102132211111331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3403144207 + ... + 3403174217.

It is an arithmetic number, because the mean of its divisors is an integer number (1408522463712).

Almost surely, 2^{102132211111332} is an apocalyptic number.

102132211111332 is a gapful number since it is divisible by the number (12) 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 102132211111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135218156516352).

102132211111332 is an abundant number, since it is smaller than the sum of its proper divisors (168304101921372).

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

102132211111332 is a wasteful number, since it uses less digits than its factorization.

102132211111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49698 (or 49696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 102132211111332 its reverse (233111112231201), we get a palindrome (335243323342533).

The spelling of 102132211111332 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred eleven million, one hundred eleven thousand, three hundred thirty-two".