102224212420320 has 144 divisors (see below), whose sum is σ = 360869094855360. Its totient is φ = 26319797210112.

The previous prime is 102224212420313. The next prime is 102224212420373. The reversal of 102224212420320 is 23024212422201.

102224212420320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 4 + 212 + 420 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1223907144 + ... + 1223990663.

It is an arithmetic number, because the mean of its divisors is an integer number (2506035380940).

Almost surely, 2^{102224212420320} is an apocalyptic number.

102224212420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102224212420320 is an abundant number, since it is smaller than the sum of its proper divisors (258644882435040).

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

102224212420320 is a wasteful number, since it uses less digits than its factorization.

102224212420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447897857 (or 2447897846 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102224212420320 its reverse (23024212422201), we get a palindrome (125248424842521).

The spelling of 102224212420320 in words is "one hundred two trillion, two hundred twenty-four billion, two hundred twelve million, four hundred twenty thousand, three hundred twenty".