102132210110320 has 160 divisors (see below), whose sum is σ = 259210855193472. Its totient is φ = 37198916222976.

The previous prime is 102132210110261. The next prime is 102132210110323. The reversal of 102132210110320 is 23011012231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132210110323) 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, 25674904 + ... + 29384776.

Almost surely, 2^{102132210110320} is an apocalyptic number.

102132210110320 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 102132210110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129605427596736).

102132210110320 is an abundant number, since it is smaller than the sum of its proper divisors (157078645083152).

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

102132210110320 is a wasteful number, since it uses less digits than its factorization.

102132210110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710259 (or 3710253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102132210110320 its reverse (23011012231201), we get a palindrome (125143222341521).

The spelling of 102132210110320 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred ten million, one hundred ten thousand, three hundred twenty".