2101102011 has 10 divisors (see below), whose sum is σ = 3138683372. Its totient is φ = 1400734620.

The previous prime is 2101101979. The next prime is 2101102013. The reversal of 2101102011 is 1102011012.

It is a happy number.

It is not a de Polignac number, because 2101102011 - 2⁵ = 2101101979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101101984 and 2101102002.

It is not an unprimeable number, because it can be changed into a prime (2101102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12969685 + ... + 12969846.

Almost surely, 2^2101102011 is an apocalyptic number.

2101102011 is a deficient number, since it is larger than the sum of its proper divisors (1037581361).

2101102011 is an equidigital number, since it uses as much as digits as its factorization.

2101102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25939543 (or 25939534 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2101102011 is about 45837.7792983037. The cubic root of 2101102011 is about 1280.8031277725.

Adding to 2101102011 its reverse (1102011012), we get a palindrome (3203113023).

Subtracting from 2101102011 its reverse (1102011012), we obtain a palindrome (999090999).

The spelling of 2101102011 in words is "two billion, one hundred one million, one hundred two thousand, eleven".