1101121121211 has 64 divisors (see below), whose sum is σ = 1586507904000. Its totient is φ = 677510355456.

The previous prime is 1101121121201. The next prime is 1101121121227. The reversal of 1101121121211 is 1121211211011.

It is not a de Polignac number, because 1101121121211 - 2⁶ = 1101121121147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101121121201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281111425 + ... + 281115341.

It is an arithmetic number, because the mean of its divisors is an integer number (24789186000).

Almost surely, 2^{1101121121211} is an apocalyptic number.

1101121121211 is a deficient number, since it is larger than the sum of its proper divisors (485386782789).

1101121121211 is a wasteful number, since it uses less digits than its factorization.

1101121121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868.

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

Adding to 1101121121211 its reverse (1121211211011), we get a palindrome (2222332332222).

The spelling of 1101121121211 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".