1100101100211 has 32 divisors (see below), whose sum is σ = 1639452127040. Its totient is φ = 729051321600.

The previous prime is 1100101100173. The next prime is 1100101100261. The reversal of 1100101100211 is 1120011010011.

It is not a de Polignac number, because 1100101100211 - 2¹⁰ = 1100101099187 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 = 1100101100193 and 1100101100202.

It is not an unprimeable number, because it can be changed into a prime (1100101100261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12275481 + ... + 12364773.

It is an arithmetic number, because the mean of its divisors is an integer number (51232878970).

Almost surely, 2^{1100101100211} is an apocalyptic number.

1100101100211 is a deficient number, since it is larger than the sum of its proper divisors (539351026829).

1100101100211 is a wasteful number, since it uses less digits than its factorization.

1100101100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92004 (or 91998 counting only the distinct ones).

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

Adding to 1100101100211 its reverse (1120011010011), we get a palindrome (2220112110222).

The spelling of 1100101100211 in words is "one trillion, one hundred billion, one hundred one million, one hundred thousand, two hundred eleven".