11121100334001 has 32 divisors (see below), whose sum is σ = 18829873121280. Its totient is φ = 6354746774928.

The previous prime is 11121100333991. The next prime is 11121100334041. The reversal of 11121100334001 is 10043300112111.

It is a happy number.

11121100334001 is a `hidden beast` number, since 11 + 121 + 100 + 33 + 400 + 1 = 666.

It is not a de Polignac number, because 11121100334001 - 2¹⁰ = 11121100332977 is a prime.

It is a super-3 number, since 3×11121100334001³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121100334041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6588900 + ... + 8102826.

It is an arithmetic number, because the mean of its divisors is an integer number (588433535040).

Almost surely, 2^{11121100334001} is an apocalyptic number.

It is an amenable number.

11121100334001 is a deficient number, since it is larger than the sum of its proper divisors (7708772787279).

11121100334001 is a wasteful number, since it uses less digits than its factorization.

11121100334001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552810 (or 1552804 counting only the distinct ones).

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

Adding to 11121100334001 its reverse (10043300112111), we get a palindrome (21164400446112).

The spelling of 11121100334001 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, three hundred thirty-four thousand, one".