102202000200100 has 72 divisors (see below), whose sum is σ = 224327389393800. Its totient is φ = 40411163443200.

The previous prime is 102202000200049. The next prime is 102202000200133. The reversal of 102202000200100 is 1002000202201.

It can be written as a sum of positive squares in 12 ways, for example, as 74313123696036 + 27888876504064 = 8620506^2 + 5280992^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33506740 + ... + 36429460.

It is an arithmetic number, because the mean of its divisors is an integer number (3115658186025).

Almost surely, 2^{102202000200100} is an apocalyptic number.

102202000200100 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 102202000200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112163694696900).

102202000200100 is an abundant number, since it is smaller than the sum of its proper divisors (122125389193700).

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

102202000200100 is a wasteful number, since it uses less digits than its factorization.

102202000200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926753 (or 2926746 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102202000200100 its reverse (1002000202201), we get a palindrome (103204000402301).

The spelling of 102202000200100 in words is "one hundred two trillion, two hundred two billion, two hundred thousand, one hundred".