33266112100 has 243 divisors, whose sum is σ = 83075372289. Its totient is φ = 11556230400.

The previous prime is 33266112083. The next prime is 33266112109. The reversal of 33266112100 is 121166233.

The square root of 33266112100 is 182390.

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 29329302564 + 3936809536 = 171258^2 + 62744^2 .

It is a super-2 number, since 2×33266112100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33266112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 545346070 + ... + 545346130.

Almost surely, 2^33266112100 is an apocalyptic number.

33266112100 is the 182390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33266112100

33266112100 is an abundant number, since it is smaller than the sum of its proper divisors (49809260189).

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

33266112100 is a wasteful number, since it uses less digits than its factorization.

33266112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 33266112100 by its sum of digits (25), we get a square (831652802500 = 911950²).

33266112100 divided by its sum of digits (25) gives a square (1330644484 = 36478²).

Multiplying 33266112100 by its product of nonzero digits (1296), we get a square (43112881281600 = 6566040²).

Adding to 33266112100 its reverse (121166233), we get a palindrome (33387278333).

The spelling of 33266112100 in words is "thirty-three billion, two hundred sixty-six million, one hundred twelve thousand, one hundred".