102212313320400 has 120 divisors (see below), whose sum is σ = 329775651236640. Its totient is φ = 27060526072320.

The previous prime is 102212313320353. The next prime is 102212313320413. The reversal of 102212313320400 is 4023313212201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306225027 + ... + 306558626.

It is an arithmetic number, because the mean of its divisors is an integer number (2748130426972).

Almost surely, 2^{102212313320400} is an apocalyptic number.

102212313320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212313320400 is an abundant number, since it is smaller than the sum of its proper divisors (227563337916240).

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

102212313320400 is a wasteful number, since it uses less digits than its factorization.

102212313320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612783813 (or 612783802 counting only the distinct ones).

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

Adding to 102212313320400 its reverse (4023313212201), we get a palindrome (106235626532601).

The spelling of 102212313320400 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirteen million, three hundred twenty thousand, four hundred".