102201300 has 54 divisors (see below), whose sum is σ = 320347118. Its totient is φ = 27253440.

The previous prime is 102201299. The next prime is 102201301. The reversal of 102201300 is 3102201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102201299) and next prime (102201301).

It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 101848464 = 594^2 + 10092^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55879 + ... + 57678.

Almost surely, 2^102201300 is an apocalyptic number.

102201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201300 is an abundant number, since it is smaller than the sum of its proper divisors (218145818).

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

102201300 is a wasteful number, since it uses less digits than its factorization.

102201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113577 (or 113567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102201300 is about 10109.4658612609. The cubic root of 102201300 is about 467.5400367972.

Adding to 102201300 its reverse (3102201), we get a palindrome (105303501).

Subtracting from 102201300 its reverse (3102201), we obtain a palindrome (99099099).

The spelling of 102201300 in words is "one hundred two million, two hundred one thousand, three hundred".