102222202000 has 80 divisors (see below), whose sum is σ = 247525340400. Its totient is φ = 40830643200.

The previous prime is 102222201979. The next prime is 102222202009. The reversal of 102222202000 is 202222201.

It can be written as a sum of positive squares in 8 ways, for example, as 39495997696 + 62726204304 = 198736^2 + 250452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102222202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381956 + ... + 1454044.

It is an arithmetic number, because the mean of its divisors is an integer number (3094066755).

Almost surely, 2^102222202000 is an apocalyptic number.

102222202000 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 102222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123762670200).

102222202000 is an abundant number, since it is smaller than the sum of its proper divisors (145303138400).

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

102222202000 is an equidigital number, since it uses as much as digits as its factorization.

102222202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72821 (or 72805 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 102222202000 its reverse (202222201), we get a palindrome (102424424201).

The spelling of 102222202000 in words is "one hundred two billion, two hundred twenty-two million, two hundred two thousand".