1100122002133 has 160 divisors (see below), whose sum is σ = 1558448640000. Its totient is φ = 755953482240.

The previous prime is 1100122002127. The next prime is 1100122002143. The reversal of 1100122002133 is 3312002210011.

It is not a de Polignac number, because 1100122002133 - 2⁹ = 1100122001621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100122002143) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5528251168 + ... + 5528251366.

It is an arithmetic number, because the mean of its divisors is an integer number (9740304000).

Almost surely, 2^{1100122002133} is an apocalyptic number.

It is an amenable number.

1100122002133 is a deficient number, since it is larger than the sum of its proper divisors (458326637867).

1100122002133 is a wasteful number, since it uses less digits than its factorization.

1100122002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100122002133 its reverse (3312002210011), we get a palindrome (4412124212144).

The spelling of 1100122002133 in words is "one trillion, one hundred billion, one hundred twenty-two million, two thousand, one hundred thirty-three".