102200200050 has 96 divisors (see below), whose sum is σ = 273656859840. Its totient is φ = 25092115200.

The previous prime is 102200200049. The next prime is 102200200061. The reversal of 102200200050 is 50002002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200199999 and 102200200035.

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, 691185 + ... + 825915.

It is an arithmetic number, because the mean of its divisors is an integer number (2850592290).

Almost surely, 2^102200200050 is an apocalyptic number.

102200200050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200200050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136828429920).

102200200050 is an abundant number, since it is smaller than the sum of its proper divisors (171456659790).

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

102200200050 is a wasteful number, since it uses less digits than its factorization.

102200200050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135148 (or 135143 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 102200200050 its reverse (50002002201), we get a palindrome (152202202251).

The spelling of 102200200050 in words is "one hundred two billion, two hundred million, two hundred thousand, fifty".