2001102121101 has 4 divisors (see below), whose sum is σ = 2668136161472. Its totient is φ = 1334068080732.

The previous prime is 2001102121061. The next prime is 2001102121159. The reversal of 2001102121101 is 1011212011002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2001102121101 - 2¹³ = 2001102112909 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 (2001102121201) 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 3 ways as a sum of consecutive naturals, for example, 333517020181 + ... + 333517020186.

It is an arithmetic number, because the mean of its divisors is an integer number (667034040368).

Almost surely, 2^{2001102121101} is an apocalyptic number.

It is an amenable number.

2001102121101 is a deficient number, since it is larger than the sum of its proper divisors (667034040371).

2001102121101 is an equidigital number, since it uses as much as digits as its factorization.

2001102121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667034040370.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2001102121101 its reverse (1011212011002), we get a palindrome (3012314132103).

The spelling of 2001102121101 in words is "two trillion, one billion, one hundred two million, one hundred twenty-one thousand, one hundred one".