100110133222333 has 16 divisors (see below), whose sum is σ = 107965491379200. Its totient is φ = 92276945044416.

The previous prime is 100110133222241. The next prime is 100110133222373. The reversal of 100110133222333 is 333222331011001.

It is a cyclic number.

It is not a de Polignac number, because 100110133222333 - 2¹⁷ = 100110133091261 is a prime.

It is a super-2 number, since 2×100110133222333² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110133222298 and 100110133222307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110133222373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25723866 + ... + 29358772.

It is an arithmetic number, because the mean of its divisors is an integer number (6747843211200).

Almost surely, 2^{100110133222333} is an apocalyptic number.

100110133222333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100110133222333 is a deficient number, since it is larger than the sum of its proper divisors (7855358156867).

100110133222333 is a wasteful number, since it uses less digits than its factorization.

100110133222333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637956.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 100110133222333 its reverse (333222331011001), we get a palindrome (433332464233334).

The spelling of 100110133222333 in words is "one hundred trillion, one hundred ten billion, one hundred thirty-three million, two hundred twenty-two thousand, three hundred thirty-three".