102213210000000 has 512 divisors, whose sum is σ = 370232755326720. Its totient is φ = 24778880000000.

The previous prime is 102213209999983. The next prime is 102213210000119. The reversal of 102213210000000 is 12312201.

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

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, 329845132 + ... + 330154868.

Almost surely, 2^{102213210000000} is an apocalyptic number.

102213210000000 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 102213210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185116377663360).

102213210000000 is an abundant number, since it is smaller than the sum of its proper divisors (268019545326720).

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

102213210000000 is an frugal number, since it uses more digits than its factorization.

102213210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309800 (or 309758 counting only the distinct ones).

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

Adding to 102213210000000 its reverse (12312201), we get a palindrome (102213222312201).

The spelling of 102213210000000 in words is "one hundred two trillion, two hundred thirteen billion, two hundred ten million", and thus it is an aban number.