100229228100 has 243 divisors, whose sum is σ = 321254489829. Its totient is φ = 26137670400.

The previous prime is 100229228081. The next prime is 100229228101. The reversal of 100229228100 is 1822922001.

The square root of 100229228100 is 316590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 75524933124 + 24704294976 = 274818^2 + 157176^2 .

It is a super-2 number, since 2×100229228100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100229228101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 579359614 + ... + 579359786.

Almost surely, 2^100229228100 is an apocalyptic number.

100229228100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100229228100 is the 316590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100229228100

100229228100 is an abundant number, since it is smaller than the sum of its proper divisors (221025261729).

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

100229228100 is a wasteful number, since it uses less digits than its factorization.

100229228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 100229 and 228100, that added together give a square (328329 = 573²).

The spelling of 100229228100 in words is "one hundred billion, two hundred twenty-nine million, two hundred twenty-eight thousand, one hundred".