2001012001121 has 8 divisors (see below), whose sum is σ = 2321003259840. Its totient is φ = 1689553842768.

The previous prime is 2001012001081. The next prime is 2001012001127. The reversal of 2001012001121 is 1211002101002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001012001121 - 2⁶ = 2001012001057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001012001127) 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 7 ways as a sum of consecutive naturals, for example, 2133274586 + ... + 2133275523.

It is an arithmetic number, because the mean of its divisors is an integer number (290125407480).

Almost surely, 2^{2001012001121} is an apocalyptic number.

It is an amenable number.

2001012001121 is a deficient number, since it is larger than the sum of its proper divisors (319991258719).

2001012001121 is an equidigital number, since it uses as much as digits as its factorization.

2001012001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266550183.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001012001121 its reverse (1211002101002), we get a palindrome (3212014102123).

The spelling of 2001012001121 in words is "two trillion, one billion, twelve million, one thousand, one hundred twenty-one".