33540120100 has 36 divisors (see below), whose sum is σ = 73779091204. Its totient is φ = 13232263680.

The previous prime is 33540120059. The next prime is 33540120109. The reversal of 33540120100 is 102104533.

It can be written as a sum of positive squares in 6 ways, for example, as 1338535396 + 32201584704 = 36586^2 + 179448^2 .

It is a super-2 number, since 2×33540120100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33540120109) 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 11 ways as a sum of consecutive naturals, for example, 2289969 + ... + 2304568.

Almost surely, 2^33540120100 is an apocalyptic number.

It is an amenable number.

33540120100 is an abundant number, since it is smaller than the sum of its proper divisors (40238971104).

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

33540120100 is a wasteful number, since it uses less digits than its factorization.

33540120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594624 (or 4594617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 33540120100 its reverse (102104533), we get a palindrome (33642224633).

The spelling of 33540120100 in words is "thirty-three billion, five hundred forty million, one hundred twenty thousand, one hundred".