2001012211121 has 32 divisors (see below), whose sum is σ = 2576737771776. Its totient is φ = 1521199996800.

The previous prime is 2001012211103. The next prime is 2001012211151. The reversal of 2001012211121 is 1211122101002.

It is a de Polignac number, because none of the positive numbers 2^k-2001012211121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001012211096 and 2001012211105.

It is not an unprimeable number, because it can be changed into a prime (2001012211151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237150 + ... + 3001143.

It is an arithmetic number, because the mean of its divisors is an integer number (80523055368).

Almost surely, 2^{2001012211121} is an apocalyptic number.

It is an amenable number.

2001012211121 is a deficient number, since it is larger than the sum of its proper divisors (575725560655).

2001012211121 is an equidigital number, since it uses as much as digits as its factorization.

2001012211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238374 (or 5238352 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2001012211121 its reverse (1211122101002), we get a palindrome (3212134312123).

The spelling of 2001012211121 in words is "two trillion, one billion, twelve million, two hundred eleven thousand, one hundred twenty-one".