102200001210 has 160 divisors (see below), whose sum is σ = 277928133120. Its totient is φ = 26944679808.

The previous prime is 102200001203. The next prime is 102200001229. The reversal of 102200001210 is 12100002201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102200001192 and 102200001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53591077 + ... + 53592983.

It is an arithmetic number, because the mean of its divisors is an integer number (1737050832).

Almost surely, 2^102200001210 is an apocalyptic number.

102200001210 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 102200001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138964066560).

102200001210 is an abundant number, since it is smaller than the sum of its proper divisors (175728131910).

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

102200001210 is a wasteful number, since it uses less digits than its factorization.

102200001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2633 counting only the distinct ones).

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

Adding to 102200001210 its reverse (12100002201), we get a palindrome (114300003411).

Subtracting from 102200001210 its reverse (12100002201), we obtain a palindrome (90099999009).

The spelling of 102200001210 in words is "one hundred two billion, two hundred million, one thousand, two hundred ten".