102213120000 has 260 divisors, whose sum is σ = 340585384040. Its totient is φ = 27254784000.

The previous prime is 102213119999. The next prime is 102213120019. The reversal of 102213120000 is 21312201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7673346 + ... + 7686654.

Almost surely, 2^102213120000 is an apocalyptic number.

102213120000 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 102213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170292692020).

102213120000 is an abundant number, since it is smaller than the sum of its proper divisors (238372264040).

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

102213120000 is an frugal number, since it uses more digits than its factorization.

102213120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102213120000 its reverse (21312201), we get a palindrome (102234432201).

The spelling of 102213120000 in words is "one hundred two billion, two hundred thirteen million, one hundred twenty thousand".