1001102000121 has 12 divisors (see below), whose sum is σ = 1446440076900. Its totient is φ = 667214939040.

The previous prime is 1001102000033. The next prime is 1001102000147. The reversal of 1001102000121 is 1210002011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 960596010000 + 40505990121 = 980100^2 + 201261^2 .

It is not a de Polignac number, because 1001102000121 - 2¹⁰ = 1001101999097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001102000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15498846 + ... + 15563303.

It is an arithmetic number, because the mean of its divisors is an integer number (120536673075).

Almost surely, 2^{1001102000121} is an apocalyptic number.

It is an amenable number.

1001102000121 is a deficient number, since it is larger than the sum of its proper divisors (445338076779).

1001102000121 is a wasteful number, since it uses less digits than its factorization.

1001102000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31065736 (or 31065733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001102000121 its reverse (1210002011001), we get a palindrome (2211104011122).

The spelling of 1001102000121 in words is "one trillion, one billion, one hundred two million, one hundred twenty-one", and thus it is an aban number.