102212221020000 has 3840 divisors, whose sum is σ = 461032582348800. Its totient is φ = 19214807040000.

The previous prime is 102212221019999. The next prime is 102212221020011. The reversal of 102212221020000 is 20122212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 118989779571 + ... + 118989780429.

It is an arithmetic number, because the mean of its divisors is an integer number (120060568320).

Almost surely, 2^{102212221020000} is an apocalyptic number.

102212221020000 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 102212221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230516291174400).

102212221020000 is an abundant number, since it is smaller than the sum of its proper divisors (358820361328800).

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

102212221020000 is a wasteful number, since it uses less digits than its factorization.

102212221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212221020000 its reverse (20122212201), we get a palindrome (102232343232201).

The spelling of 102212221020000 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, twenty thousand".