102212221230000 has 600 divisors, whose sum is σ = 409348561729536. Its totient is φ = 23315140800000.

The previous prime is 102212221229977. The next prime is 102212221230029. The reversal of 102212221230000 is 32122212201.

102212221230000 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 221 + 230 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 309164785 + ... + 309495215.

Almost surely, 2^{102212221230000} is an apocalyptic number.

102212221230000 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 102212221230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204674280864768).

102212221230000 is an abundant number, since it is smaller than the sum of its proper divisors (307136340499536).

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

102212221230000 is a wasteful number, since it uses less digits than its factorization.

102212221230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330963 (or 330939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102212221230000 its reverse (32122212201), we get a palindrome (102244343442201).

The spelling of 102212221230000 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thirty thousand".