38021100100 has 243 divisors, whose sum is σ = 93076802469. Its totient is φ = 13477708800.

The previous prime is 38021100097. The next prime is 38021100121. The reversal of 38021100100 is 100112083.

The square root of 38021100100 is 194990.

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

38021100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 1175529796 + 36845570304 = 34286^2 + 191952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1027597282 + ... + 1027597318.

Almost surely, 2^38021100100 is an apocalyptic number.

38021100100 is the 194990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38021100100

38021100100 is an abundant number, since it is smaller than the sum of its proper divisors (55055702369).

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

38021100100 is a wasteful number, since it uses less digits than its factorization.

38021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Multiplying 38021100100 by its sum of digits (16), we get a square (608337601600 = 779960²).

Adding to 38021100100 its reverse (100112083), we get a palindrome (38121212183).

The spelling of 38021100100 in words is "thirty-eight billion, twenty-one million, one hundred thousand, one hundred".