11011211122101 has 32 divisors (see below), whose sum is σ = 15828362772480. Its totient is φ = 6787509019200.

The previous prime is 11011211122091. The next prime is 11011211122123. The reversal of 11011211122101 is 10122111211011.

It is not a de Polignac number, because 11011211122101 - 2¹⁰ = 11011211121077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011211122601) 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, 8964585 + ... + 10118606.

It is an arithmetic number, because the mean of its divisors is an integer number (494636336640).

Almost surely, 2^{11011211122101} is an apocalyptic number.

It is an amenable number.

11011211122101 is a deficient number, since it is larger than the sum of its proper divisors (4817151650379).

11011211122101 is a wasteful number, since it uses less digits than its factorization.

11011211122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19083457.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11011211122101 its reverse (10122111211011), we get a palindrome (21133322333112).

It can be divided in two parts, 1101121 and 1122101, that added together give a palindrome (2223222).

The spelling of 11011211122101 in words is "eleven trillion, eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".