33100021122100 has 18 divisors (see below), whose sum is σ = 71827045835174. Its totient is φ = 13240008448800.

The previous prime is 33100021122083. The next prime is 33100021122121. The reversal of 33100021122100 is 122112000133.

It can be written as a sum of positive squares in 3 ways, for example, as 549869707024 + 32550151415076 = 741532^2 + 5705274^2 .

It is a super-2 number, since 2×33100021122100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165500105511 + ... + 165500105710.

Almost surely, 2^{33100021122100} is an apocalyptic number.

It is an amenable number.

33100021122100 is an abundant number, since it is smaller than the sum of its proper divisors (38727024713074).

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

33100021122100 is a wasteful number, since it uses less digits than its factorization.

33100021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331000211235 (or 331000211228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 33100021122100 its reverse (122112000133), we get a palindrome (33222133122233).

The spelling of 33100021122100 in words is "thirty-three trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred".