102200000 has 168 divisors, whose sum is σ = 293668704. Its totient is φ = 34560000.

The previous prime is 102199997. The next prime is 102200011. The reversal of 102200000 is 2201.

102200000 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 1399964 + ... + 1400036.

It is an arithmetic number, because the mean of its divisors is an integer number (1748028).

Almost surely, 2^102200000 is an apocalyptic number.

102200000 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 102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146834352).

102200000 is an abundant number, since it is smaller than the sum of its proper divisors (191468704).

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

102200000 is an frugal number, since it uses more digits than its factorization.

102200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 102200000 is about 10109.4015648801. The cubic root of 102200000 is about 467.5380544199.

Adding to 102200000 its reverse (2201), we get a palindrome (102202201).

The spelling of 102200000 in words is "one hundred two million, two hundred thousand".