102200201010 has 128 divisors (see below), whose sum is σ = 289197216000. Its totient is φ = 25594076160.

The previous prime is 102200200981. The next prime is 102200201017. The reversal of 102200201010 is 10102002201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102200200983 and 102200201001.

It is not an unprimeable number, because it can be changed into a prime (102200201017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091841 + ... + 2140139.

It is an arithmetic number, because the mean of its divisors is an integer number (2259353250).

Almost surely, 2^102200201010 is an apocalyptic number.

102200201010 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 102200201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144598608000).

102200201010 is an abundant number, since it is smaller than the sum of its proper divisors (186997014990).

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

102200201010 is a wasteful number, since it uses less digits than its factorization.

102200201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48793 (or 48787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200201010 its reverse (10102002201), we get a palindrome (112302203211).

The spelling of 102200201010 in words is "one hundred two billion, two hundred million, two hundred one thousand, ten".