100133233201123 has 2 divisors, whose sum is σ = 100133233201124. Its totient is φ = 100133233201122.

The previous prime is 100133233201097. The next prime is 100133233201217. The reversal of 100133233201123 is 321102332331001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100133233201123 - 2²⁹ = 100132696330211 is a prime.

It is a super-2 number, since 2×100133233201123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100133233208123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066616600561 + 50066616600562.

It is an arithmetic number, because the mean of its divisors is an integer number (50066616600562).

Almost surely, 2^{100133233201123} is an apocalyptic number.

100133233201123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133233201123 is an equidigital number, since it uses as much as digits as its factorization.

100133233201123 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100133233201123 its reverse (321102332331001), we get a palindrome (421235565532124).

The spelling of 100133233201123 in words is "one hundred trillion, one hundred thirty-three billion, two hundred thirty-three million, two hundred one thousand, one hundred twenty-three".