102213001312320 has 448 divisors, whose sum is σ = 355146894821376. Its totient is φ = 24794681180160.

The previous prime is 102213001312307. The next prime is 102213001312343. The reversal of 102213001312320 is 23213100312201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403091494 + ... + 403344986.

It is an arithmetic number, because the mean of its divisors is an integer number (792738604512).

Almost surely, 2^{102213001312320} is an apocalyptic number.

102213001312320 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 102213001312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177573447410688).

102213001312320 is an abundant number, since it is smaller than the sum of its proper divisors (252933893509056).

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

102213001312320 is a wasteful number, since it uses less digits than its factorization.

102213001312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254358 (or 254348 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102213001312320 its reverse (23213100312201), we get a palindrome (125426101624521).

The spelling of 102213001312320 in words is "one hundred two trillion, two hundred thirteen billion, one million, three hundred twelve thousand, three hundred twenty".