2001021212001 has 16 divisors (see below), whose sum is σ = 3050512024448. Its totient is φ = 1142939376000.

The previous prime is 2001021211927. The next prime is 2001021212083. The reversal of 2001021212001 is 1002121201002.

It is not a de Polignac number, because 2001021212001 - 2¹⁸ = 2001020949857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001021202001) 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, 20839150 + ... + 20934951.

It is an arithmetic number, because the mean of its divisors is an integer number (190657001528).

Almost surely, 2^{2001021212001} is an apocalyptic number.

2001021212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001021212001 is a deficient number, since it is larger than the sum of its proper divisors (1049490812447).

2001021212001 is a wasteful number, since it uses less digits than its factorization.

2001021212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41776392.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001021212001 its reverse (1002121201002), we get a palindrome (3003142413003).

The spelling of 2001021212001 in words is "two trillion, one billion, twenty-one million, two hundred twelve thousand, one".