1000110121001 has 16 divisors (see below), whose sum is σ = 1025596011264. Its totient is φ = 974726769744.

The previous prime is 1000110120983. The next prime is 1000110121069. The reversal of 1000110121001 is 1001210110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000110121001 - 2¹⁰ = 1000110119977 is a prime.

It is a super-2 number, since 2×1000110121001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000110121001.

It is not an unprimeable number, because it can be changed into a prime (1000110121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91891106 + ... + 91901988.

It is an arithmetic number, because the mean of its divisors is an integer number (64099750704).

Almost surely, 2^{1000110121001} is an apocalyptic number.

It is an amenable number.

1000110121001 is a deficient number, since it is larger than the sum of its proper divisors (25485890263).

1000110121001 is a wasteful number, since it uses less digits than its factorization.

1000110121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000110121001 its reverse (1001210110001), we get a palindrome (2001320231002).

The spelling of 1000110121001 in words is "one trillion, one hundred ten million, one hundred twenty-one thousand, one".