9200010100 has 72 divisors (see below), whose sum is σ = 20229252120. Its totient is φ = 3631288320.

The previous prime is 9200010091. The next prime is 9200010119. The reversal of 9200010100 is 10100029.

It can be written as a sum of positive squares in 12 ways, for example, as 1041223824 + 8158786276 = 32268^2 + 90326^2 .

It is a congruent number.

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, 7092652 + ... + 7093948.

It is an arithmetic number, because the mean of its divisors is an integer number (280961835).

Almost surely, 2^9200010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114626060).

9200010100 is an abundant number, since it is smaller than the sum of its proper divisors (11029242020).

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

9200010100 is a wasteful number, since it uses less digits than its factorization.

9200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 9200010100 is about 95916.6831161295. The cubic root of 9200010100 is about 2095.3798731303.

Adding to 9200010100 its reverse (10100029), we get a palindrome (9210110129).

The spelling of 9200010100 in words is "nine billion, two hundred million, ten thousand, one hundred".