1001123123121 has 12 divisors (see below), whose sum is σ = 1577527345680. Its totient is φ = 606741286680.

The previous prime is 1001123123111. The next prime is 1001123123131. The reversal of 1001123123121 is 1213213211001.

It is an interprime number because it is at equal distance from previous prime (1001123123111) and next prime (1001123123131).

It is not a de Polignac number, because 1001123123121 - 2¹⁵ = 1001123090353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001123123094 and 1001123123103.

It is not an unprimeable number, because it can be changed into a prime (1001123123111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5056177291 + ... + 5056177488.

It is an arithmetic number, because the mean of its divisors is an integer number (131460612140).

Almost surely, 2^{1001123123121} is an apocalyptic number.

1001123123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001123123121 is a deficient number, since it is larger than the sum of its proper divisors (576404222559).

1001123123121 is a wasteful number, since it uses less digits than its factorization.

1001123123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112354796 (or 10112354793 counting only the distinct ones).

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

Adding to 1001123123121 its reverse (1213213211001), we get a palindrome (2214336334122).

It can be divided in two parts, 10011 and 23123121, that added together give a palindrome (23133132).

The spelling of 1001123123121 in words is "one trillion, one billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty-one".