2001000212101 has 8 divisors (see below), whose sum is σ = 2184354019008. Its totient is φ = 1817887188000.

The previous prime is 2001000212089. The next prime is 2001000212137. The reversal of 2001000212101 is 1012120001002.

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 2001000212101 - 2¹⁵ = 2001000179333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000212801) 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, 60178320 + ... + 60211561.

It is an arithmetic number, because the mean of its divisors is an integer number (273044252376).

Almost surely, 2^{2001000212101} is an apocalyptic number.

It is an amenable number.

2001000212101 is a deficient number, since it is larger than the sum of its proper divisors (183353806907).

2001000212101 is a wasteful number, since it uses less digits than its factorization.

2001000212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120391403.

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

Adding to 2001000212101 its reverse (1012120001002), we get a palindrome (3013120213103).

The spelling of 2001000212101 in words is "two trillion, one billion, two hundred twelve thousand, one hundred one".