2101101111 has 48 divisors (see below), whose sum is σ = 3429260640. Its totient is φ = 1231718400.

The previous prime is 2101101109. The next prime is 2101101137. The reversal of 2101101111 is 1111011012.

It is not a de Polignac number, because 2101101111 - 2¹ = 2101101109 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101101093 and 2101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207261 + ... + 217161.

It is an arithmetic number, because the mean of its divisors is an integer number (71442930).

Almost surely, 2^2101101111 is an apocalyptic number.

2101101111 is a deficient number, since it is larger than the sum of its proper divisors (1328159529).

2101101111 is a wasteful number, since it uses less digits than its factorization.

2101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 2101101111 is about 45837.7694810731. The cubic root of 2101101111 is about 1280.8029448966.

Adding to 2101101111 its reverse (1111011012), we get a palindrome (3212112123).

Subtracting from 2101101111 its reverse (1111011012), we obtain a palindrome (990090099).

The spelling of 2101101111 in words is "two billion, one hundred one million, one hundred one thousand, one hundred eleven".