102012221221200 has 480 divisors, whose sum is σ = 382236436889600. Its totient is φ = 25768905684480.

The previous prime is 102012221221177. The next prime is 102012221221217. The reversal of 102012221221200 is 2122122210201.

It is a happy number.

102012221221200 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 2 + 221 + 221 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2783930079 + ... + 2783966721.

Almost surely, 2^{102012221221200} is an apocalyptic number.

102012221221200 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 102012221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191118218444800).

102012221221200 is an abundant number, since it is smaller than the sum of its proper divisors (280224215668400).

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

102012221221200 is a wasteful number, since it uses less digits than its factorization.

102012221221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50256 (or 50239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012221221200 its reverse (2122122210201), we get a palindrome (104134343431401).

The spelling of 102012221221200 in words is "one hundred two trillion, twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".