102213113212320 has 192 divisors, whose sum is σ = 351763341681024. Its totient is φ = 24742117048320.

The previous prime is 102213113212319. The next prime is 102213113212361. The reversal of 102213113212320 is 23212311312201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10828837 + ... + 17935716.

It is an arithmetic number, because the mean of its divisors is an integer number (1832100737922).

Almost surely, 2^{102213113212320} is an apocalyptic number.

102213113212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213113212320 is an abundant number, since it is smaller than the sum of its proper divisors (249550228468704).

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

102213113212320 is a wasteful number, since it uses less digits than its factorization.

102213113212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28765255 (or 28765247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102213113212320 its reverse (23212311312201), we get a palindrome (125425424524521).

The spelling of 102213113212320 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, three hundred twenty".