100121110320033 has 144 divisors (see below), whose sum is σ = 176442403737600. Its totient is φ = 54095444559360.

The previous prime is 100121110320031. The next prime is 100121110320037. The reversal of 100121110320033 is 330023011121001.

100121110320033 is a `hidden beast` number, since 100 + 1 + 211 + 1 + 0 + 320 + 0 + 33 = 666.

It is not a de Polignac number, because 100121110320033 - 2¹ = 100121110320031 is a prime.

It is a super-2 number, since 2×100121110320033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121110319988 and 100121110320015.

It is not an unprimeable number, because it can be changed into a prime (100121110320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4644040908 + ... + 4644062466.

It is an arithmetic number, because the mean of its divisors is an integer number (1225294470400).

Almost surely, 2^{100121110320033} is an apocalyptic number.

It is an amenable number.

100121110320033 is a deficient number, since it is larger than the sum of its proper divisors (76321293417567).

100121110320033 is a wasteful number, since it uses less digits than its factorization.

100121110320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30172 (or 30152 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100121110320033 its reverse (330023011121001), we get a palindrome (430144121441034).

The spelling of 100121110320033 in words is "one hundred trillion, one hundred twenty-one billion, one hundred ten million, three hundred twenty thousand, thirty-three".