100121333302133 has 16 divisors (see below), whose sum is σ = 123815855688000. Its totient is φ = 79595907223680.

The previous prime is 100121333302121. The next prime is 100121333302241. The reversal of 100121333302133 is 331203333121001.

It is a cyclic number.

It is not a de Polignac number, because 100121333302133 - 2¹⁰ = 100121333301109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121333302103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18424975808 + ... + 18424981241.

It is an arithmetic number, because the mean of its divisors is an integer number (7738490980500).

Almost surely, 2^{100121333302133} is an apocalyptic number.

100121333302133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100121333302133 is a deficient number, since it is larger than the sum of its proper divisors (23694522385867).

100121333302133 is a wasteful number, since it uses less digits than its factorization.

100121333302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36849957092.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 100121333302133 its reverse (331203333121001), we get a palindrome (431324666423134).

The spelling of 100121333302133 in words is "one hundred trillion, one hundred twenty-one billion, three hundred thirty-three million, three hundred two thousand, one hundred thirty-three".