2001211002101 has 8 divisors (see below), whose sum is σ = 2018979195480. Its totient is φ = 1983443832832.

The previous prime is 2001211002073. The next prime is 2001211002113. The reversal of 2001211002101 is 1012001121002.

It can be written as a sum of positive squares in 4 ways, for example, as 177873906001 + 1823337096100 = 421751^2 + 1350310^2 .

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 2001211002101 - 2¹⁴ = 2001210985717 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 (2001211002181) 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 7 ways as a sum of consecutive naturals, for example, 3979055 + ... + 4453683.

It is an arithmetic number, because the mean of its divisors is an integer number (252372399435).

Almost surely, 2^{2001211002101} is an apocalyptic number.

It is an amenable number.

2001211002101 is a deficient number, since it is larger than the sum of its proper divisors (17768193379).

2001211002101 is a wasteful number, since it uses less digits than its factorization.

2001211002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512055.

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

Adding to 2001211002101 its reverse (1012001121002), we get a palindrome (3013212123103).

The spelling of 2001211002101 in words is "two trillion, one billion, two hundred eleven million, two thousand, one hundred one".