101100211011 has 6 divisors (see below), whose sum is σ = 146033638140. Its totient is φ = 67400140668.

The previous prime is 101100211007. The next prime is 101100211019. The reversal of 101100211011 is 110112001101.

It is not a de Polignac number, because 101100211011 - 2² = 101100211007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11233356779 = 101100211011 / (1 + 0 + 1 + 1 + 0 + 0 + 2 + 1 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101100210984 and 101100211002.

It is not an unprimeable number, because it can be changed into a prime (101100211019) 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 5 ways as a sum of consecutive naturals, for example, 5616678381 + ... + 5616678398.

It is an arithmetic number, because the mean of its divisors is an integer number (24338939690).

Almost surely, 2^101100211011 is an apocalyptic number.

101100211011 is a deficient number, since it is larger than the sum of its proper divisors (44933427129).

101100211011 is a wasteful number, since it uses less digits than its factorization.

101100211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233356785 (or 11233356782 counting only the distinct ones).

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

Adding to 101100211011 its reverse (110112001101), we get a palindrome (211212212112).

The spelling of 101100211011 in words is "one hundred one billion, one hundred million, two hundred eleven thousand, eleven".