2101002210001 has 16 divisors (see below), whose sum is σ = 2175722078400. Its totient is φ = 2026434977728.

The previous prime is 2101002209987. The next prime is 2101002210029. The reversal of 2101002210001 is 1000122001012.

It is a cyclic number.

It is not a de Polignac number, because 2101002210001 - 2¹⁵ = 2101002177233 is a prime.

It is a super-2 number, since 2×2101002210001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101002210001.

It is not an unprimeable number, because it can be changed into a prime (2101002220001) 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, 121205331 + ... + 121222663.

It is an arithmetic number, because the mean of its divisors is an integer number (135982629900).

Almost surely, 2^{2101002210001} is an apocalyptic number.

It is an amenable number.

2101002210001 is a deficient number, since it is larger than the sum of its proper divisors (74719868399).

2101002210001 is a wasteful number, since it uses less digits than its factorization.

2101002210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21488.

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

Adding to 2101002210001 its reverse (1000122001012), we get a palindrome (3101124211013).

The spelling of 2101002210001 in words is "two trillion, one hundred one billion, two million, two hundred ten thousand, one".