101100002133 has 24 divisors (see below), whose sum is σ = 154210933408. Its totient is φ = 58555650816.

The previous prime is 101100002123. The next prime is 101100002137. The reversal of 101100002133 is 331200001101.

It is not a de Polignac number, because 101100002133 - 2⁹ = 101100001621 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 (101100002137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4473691 + ... + 4496232.

Almost surely, 2^101100002133 is an apocalyptic number.

101100002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101100002133 is a deficient number, since it is larger than the sum of its proper divisors (53110931275).

101100002133 is a wasteful number, since it uses less digits than its factorization.

101100002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969973 (or 8969956 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101100002133 its reverse (331200001101), we get a palindrome (432300003234).

The spelling of 101100002133 in words is "one hundred one billion, one hundred million, two thousand, one hundred thirty-three".