2101002210011 has 16 divisors (see below), whose sum is σ = 2135850444000. Its totient is φ = 2066487007488.

The previous prime is 2101002209987. The next prime is 2101002210029. The reversal of 2101002210011 is 1100122001012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101002210011 is a prime.

It is a super-2 number, since 2×2101002210011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101002209974 and 2101002210001.

It is not an unprimeable number, because it can be changed into a prime (2101002210211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8580185 + ... + 8821653.

It is an arithmetic number, because the mean of its divisors is an integer number (133490652750).

Almost surely, 2^{2101002210011} is an apocalyptic number.

2101002210011 is a deficient number, since it is larger than the sum of its proper divisors (34848233989).

2101002210011 is a wasteful number, since it uses less digits than its factorization.

2101002210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242158.

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

Adding to 2101002210011 its reverse (1100122001012), we get a palindrome (3201124211023).

The spelling of 2101002210011 in words is "two trillion, one hundred one billion, two million, two hundred ten thousand, eleven".