102132440212320 has 288 divisors, whose sum is σ = 402183671565312. Its totient is φ = 23117911335936.

The previous prime is 102132440212279. The next prime is 102132440212321. The reversal of 102132440212320 is 23212044231201.

102132440212320 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 440 + 212 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132440212321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48147132 + ... + 50223611.

It is an arithmetic number, because the mean of its divisors is an integer number (1396471081824).

Almost surely, 2^{102132440212320} is an apocalyptic number.

102132440212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132440212320 is an abundant number, since it is smaller than the sum of its proper divisors (300051231352992).

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

102132440212320 is a wasteful number, since it uses less digits than its factorization.

102132440212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98370874 (or 98370863 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102132440212320 its reverse (23212044231201), we get a palindrome (125344484443521).

The spelling of 102132440212320 in words is "one hundred two trillion, one hundred thirty-two billion, four hundred forty million, two hundred twelve thousand, three hundred twenty".