102221122320300 has 144 divisors (see below), whose sum is σ = 298284294694400. Its totient is φ = 27026814240000.

The previous prime is 102221122320259. The next prime is 102221122320311. The reversal of 102221122320300 is 3023221122201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29684646 + ... + 32948754.

Almost surely, 2^{102221122320300} is an apocalyptic number.

102221122320300 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 102221122320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149142147347200).

102221122320300 is an abundant number, since it is smaller than the sum of its proper divisors (196063172374100).

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

102221122320300 is a wasteful number, since it uses less digits than its factorization.

102221122320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265016 (or 3265009 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102221122320300 its reverse (3023221122201), we get a palindrome (105244343442501).

The spelling of 102221122320300 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, three hundred twenty thousand, three hundred".