102132312220320 has 192 divisors, whose sum is σ = 326863416531456. Its totient is φ = 26800448209920.

The previous prime is 102132312220303. The next prime is 102132312220327. The reversal of 102132312220320 is 23022213231201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102132312220327) 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, 28778775 + ... + 32132265.

It is an arithmetic number, because the mean of its divisors is an integer number (1702413627768).

Almost surely, 2^{102132312220320} is an apocalyptic number.

102132312220320 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 102132312220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163431708265728).

102132312220320 is an abundant number, since it is smaller than the sum of its proper divisors (224731104311136).

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

102132312220320 is a wasteful number, since it uses less digits than its factorization.

102132312220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354523 (or 3354515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102132312220320 its reverse (23022213231201), we get a palindrome (125154525451521).

The spelling of 102132312220320 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred twelve million, two hundred twenty thousand, three hundred twenty".