102201222020000 has 240 divisors, whose sum is σ = 256156092561600. Its totient is φ = 40117752576000.

The previous prime is 102201222019901. The next prime is 102201222020017. The reversal of 102201222020000 is 20222102201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 290364119 + ... + 290715881.

It is an arithmetic number, because the mean of its divisors is an integer number (1067317052340).

Almost surely, 2^{102201222020000} is an apocalyptic number.

102201222020000 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 102201222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128078046280800).

102201222020000 is an abundant number, since it is smaller than the sum of its proper divisors (153954870541600).

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

102201222020000 is an equidigital number, since it uses as much as digits as its factorization.

102201222020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352065 (or 352042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102201222020000 its reverse (20222102201), we get a palindrome (102221444122201).

The spelling of 102201222020000 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-two million, twenty thousand".