1001121002117 has 2 divisors, whose sum is σ = 1001121002118. Its totient is φ = 1001121002116.

The previous prime is 1001121002071. The next prime is 1001121002173. The reversal of 1001121002117 is 7112001211001.

1001121002117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000612093636 + 508908481 = 1000306^2 + 22559^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121002117 - 2¹⁰ = 1001121001093 is a prime.

It is a super-3 number, since 3×1001121002117³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001121002095 and 1001121002104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001121802117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560501058 + 500560501059.

It is an arithmetic number, because the mean of its divisors is an integer number (500560501059).

Almost surely, 2^{1001121002117} is an apocalyptic number.

It is an amenable number.

1001121002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121002117 is an equidigital number, since it uses as much as digits as its factorization.

1001121002117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 1001121002117 its reverse (7112001211001), we get a palindrome (8113122213118).

The spelling of 1001121002117 in words is "one trillion, one billion, one hundred twenty-one million, two thousand, one hundred seventeen".