102232045520000 has 640 divisors, whose sum is σ = 287095220121600. Its totient is φ = 35913024000000.

The previous prime is 102232045519963. The next prime is 102232045520023. The reversal of 102232045520000 is 25540232201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×102232045520000² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 17213677031 + ... + 17213682969.

It is an arithmetic number, because the mean of its divisors is an integer number (448586281440).

Almost surely, 2^{102232045520000} is an apocalyptic number.

102232045520000 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 102232045520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143547610060800).

102232045520000 is an abundant number, since it is smaller than the sum of its proper divisors (184863174601600).

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

102232045520000 is an equidigital number, since it uses as much as digits as its factorization.

102232045520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 102232045520000 its reverse (25540232201), we get a palindrome (102257585752201).

The spelling of 102232045520000 in words is "one hundred two trillion, two hundred thirty-two billion, forty-five million, five hundred twenty thousand".