102221332220100 has 288 divisors, whose sum is σ = 309685714845696. Its totient is φ = 25983839692800.

The previous prime is 102221332220071. The next prime is 102221332220149. The reversal of 102221332220100 is 1022233122201.

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, 6136830972 + ... + 6136847628.

It is an arithmetic number, because the mean of its divisors is an integer number (1075297620992).

Almost surely, 2^{102221332220100} is an apocalyptic number.

102221332220100 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 102221332220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154842857422848).

102221332220100 is an abundant number, since it is smaller than the sum of its proper divisors (207464382625596).

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

102221332220100 is a wasteful number, since it uses less digits than its factorization.

102221332220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19715 (or 19708 counting only the distinct ones).

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

Adding to 102221332220100 its reverse (1022233122201), we get a palindrome (103243565342301).

The spelling of 102221332220100 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred twenty thousand, one hundred".