2001001012021 has 32 divisors (see below), whose sum is σ = 2252047564800. Its totient is φ = 1761931932480.

The previous prime is 2001001011979. The next prime is 2001001012027. The reversal of 2001001012021 is 1202101001002.

It is a de Polignac number, because none of the positive numbers 2^k-2001001012021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001001011989 and 2001001012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001001012027) 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 31 ways as a sum of consecutive naturals, for example, 169011820 + ... + 169023658.

It is an arithmetic number, because the mean of its divisors is an integer number (70376486400).

Almost surely, 2^{2001001012021} is an apocalyptic number.

It is an amenable number.

2001001012021 is a deficient number, since it is larger than the sum of its proper divisors (251046552779).

2001001012021 is a wasteful number, since it uses less digits than its factorization.

2001001012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13729.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001001012021 its reverse (1202101001002), we get a palindrome (3203102013023).

It can be divided in two parts, 200100 and 1012021, that added together give a palindrome (1212121).

The spelling of 2001001012021 in words is "two trillion, one billion, one million, twelve thousand, twenty-one".