33120112100 has 36 divisors (see below), whose sum is σ = 72041448948. Its totient is φ = 13216560000.

The previous prime is 33120112057. The next prime is 33120112127. The reversal of 33120112100 is 121102133.

It can be written as a sum of positive squares in 6 ways, for example, as 4861157284 + 28258954816 = 69722^2 + 168104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351251 + ... + 435450.

Almost surely, 2^33120112100 is an apocalyptic number.

It is an amenable number.

33120112100 is an abundant number, since it is smaller than the sum of its proper divisors (38921336848).

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

33120112100 is a wasteful number, since it uses less digits than its factorization.

33120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787136 (or 787129 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 33120112100 its reverse (121102133), we get a palindrome (33241214233).

The spelling of 33120112100 in words is "thirty-three billion, one hundred twenty million, one hundred twelve thousand, one hundred".