1100121322113 has 72 divisors (see below), whose sum is σ = 1841392635264. Its totient is φ = 631175339520.

The previous prime is 1100121322093. The next prime is 1100121322117. The reversal of 1100121322113 is 3112231210011.

1100121322113 is a `hidden beast` number, since 110 + 0 + 121 + 322 + 113 = 666.

It is not a de Polignac number, because 1100121322113 - 2⁹ = 1100121321601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100121322117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2203156 + ... + 2655962.

It is an arithmetic number, because the mean of its divisors is an integer number (25574897712).

Almost surely, 2^{1100121322113} is an apocalyptic number.

It is an amenable number.

1100121322113 is a deficient number, since it is larger than the sum of its proper divisors (741271313151).

1100121322113 is a wasteful number, since it uses less digits than its factorization.

1100121322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452955 (or 452941 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1100121322113 its reverse (3112231210011), we get a palindrome (4212352532124).

The spelling of 1100121322113 in words is "one trillion, one hundred billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred thirteen".