202116100 has 36 divisors (see below), whose sum is σ = 441823284. Its totient is φ = 80250880.

The previous prime is 202116071. The next prime is 202116113. The reversal of 202116100 is 1611202.

It can be written as a sum of positive squares in 6 ways, for example, as 2119936 + 199996164 = 1456^2 + 14142^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6324 + ... + 21076.

It is an arithmetic number, because the mean of its divisors is an integer number (12272869).

Almost surely, 2^202116100 is an apocalyptic number.

202116100 is a gapful number since it is divisible by the number (20) 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 202116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220911642).

202116100 is an abundant number, since it is smaller than the sum of its proper divisors (239707184).

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

202116100 is a wasteful number, since it uses less digits than its factorization.

202116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 202116100 is about 14216.7542005902. The cubic root of 202116100 is about 586.8588206361.

Adding to 202116100 its reverse (1611202), we get a palindrome (203727302).

The spelling of 202116100 in words is "two hundred two million, one hundred sixteen thousand, one hundred".