102222122202200 has 192 divisors, whose sum is σ = 319104583499520. Its totient is φ = 29410560576000.

The previous prime is 102222122202199. The next prime is 102222122202223. The reversal of 102222122202200 is 2202221222201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 255099806 + ... + 255500205.

It is an arithmetic number, because the mean of its divisors is an integer number (1662003039060).

Almost surely, 2^{102222122202200} is an apocalyptic number.

102222122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222122202200 is an abundant number, since it is smaller than the sum of its proper divisors (216882461297320).

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

102222122202200 is a wasteful number, since it uses less digits than its factorization.

102222122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510600058 (or 510600049 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102222122202200 its reverse (2202221222201), we get a palindrome (104424343424401).

The spelling of 102222122202200 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, two hundred".