2102110121001 has 16 divisors (see below), whose sum is σ = 3132190692288. Its totient is φ = 1242932812800.

The previous prime is 2102110120949. The next prime is 2102110121011. The reversal of 2102110121001 is 1001210112012.

It is not a de Polignac number, because 2102110121001 - 2¹⁵ = 2102110088233 is a prime.

It is a super-2 number, since 2×2102110121001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102110121011) 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 15 ways as a sum of consecutive naturals, for example, 776831656 + ... + 776834361.

It is an arithmetic number, because the mean of its divisors is an integer number (195761918268).

Almost surely, 2^{2102110121001} is an apocalyptic number.

It is an amenable number.

2102110121001 is a deficient number, since it is larger than the sum of its proper divisors (1030080571287).

2102110121001 is a wasteful number, since it uses less digits than its factorization.

2102110121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553666072.

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

Adding to 2102110121001 its reverse (1001210112012), we get a palindrome (3103320233013).

The spelling of 2102110121001 in words is "two trillion, one hundred two billion, one hundred ten million, one hundred twenty-one thousand, one".