1000121002001 has 16 divisors (see below), whose sum is σ = 1107368908800. Its totient is φ = 895646840400.

The previous prime is 1000121001983. The next prime is 1000121002007. The reversal of 1000121002001 is 1002001210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000121002001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000121002001.

It is not an unprimeable number, because it can be changed into a prime (1000121002007) 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, 929315 + ... + 1692296.

It is an arithmetic number, because the mean of its divisors is an integer number (69210556800).

Almost surely, 2^{1000121002001} is an apocalyptic number.

1000121002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000121002001 is a deficient number, since it is larger than the sum of its proper divisors (107247906799).

1000121002001 is a wasteful number, since it uses less digits than its factorization.

1000121002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622140.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000121002001 its reverse (1002001210001), we get a palindrome (2002122212002).

The spelling of 1000121002001 in words is "one trillion, one hundred twenty-one million, two thousand, one".