102220200 has 144 divisors (see below), whose sum is σ = 347103900. Its totient is φ = 26956800.

The previous prime is 102220193. The next prime is 102220207. The reversal of 102220200 is 2022201.

It is an interprime number because it is at equal distance from previous prime (102220193) and next prime (102220207).

It can be written as a sum of positive squares in 6 ways, for example, as 35928036 + 66292164 = 5994^2 + 8142^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102220207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195940 + ... + 196460.

Almost surely, 2^102220200 is an apocalyptic number.

102220200 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 102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173551950).

102220200 is an abundant number, since it is smaller than the sum of its proper divisors (244883700).

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

102220200 is a wasteful number, since it uses less digits than its factorization.

102220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102220200 is about 10110.4005855357. The cubic root of 102220200 is about 467.5688556154.

Adding to 102220200 its reverse (2022201), we get a palindrome (104242401).

The spelling of 102220200 in words is "one hundred two million, two hundred twenty thousand, two hundred".