102202221100220 has 96 divisors (see below), whose sum is σ = 222864723164160. Its totient is φ = 39340267384320.

The previous prime is 102202221100193. The next prime is 102202221100241. The reversal of 102202221100220 is 22001122202201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86914961 + ... + 88082999.

It is an arithmetic number, because the mean of its divisors is an integer number (2321507532960).

Almost surely, 2^{102202221100220} is an apocalyptic number.

102202221100220 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 102202221100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111432361582080).

102202221100220 is an abundant number, since it is smaller than the sum of its proper divisors (120662502063940).

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

102202221100220 is a wasteful number, since it uses less digits than its factorization.

102202221100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169595 (or 1169593 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102202221100220 its reverse (22001122202201), we get a palindrome (124203343302421).

The spelling of 102202221100220 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, one hundred thousand, two hundred twenty".