1001121002133 has 16 divisors (see below), whose sum is σ = 1532238067200. Its totient is φ = 569549012976.

The previous prime is 1001121002117. The next prime is 1001121002173. The reversal of 1001121002133 is 3312001211001.

It is a happy number.

It is not a de Polignac number, because 1001121002133 - 2⁴ = 1001121002117 is a prime.

It is a super-3 number, since 3×1001121002133³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121002173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105000583 + ... + 105010116.

It is an arithmetic number, because the mean of its divisors is an integer number (95764879200).

Almost surely, 2^{1001121002133} is an apocalyptic number.

It is an amenable number.

1001121002133 is a deficient number, since it is larger than the sum of its proper divisors (531117065067).

1001121002133 is a wasteful number, since it uses less digits than its factorization.

1001121002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210010936.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001121002133 its reverse (3312001211001), we get a palindrome (4313122213134).

The spelling of 1001121002133 in words is "one trillion, one billion, one hundred twenty-one million, two thousand, one hundred thirty-three".