1101100121011 has 16 divisors (see below), whose sum is σ = 1222412525568. Its totient is φ = 983476166400.

The previous prime is 1101100120999. The next prime is 1101100121071. The reversal of 1101100121011 is 1101210011011.

It is a cyclic number.

It is not a de Polignac number, because 1101100121011 - 2¹⁷ = 1101099989939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101100121071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3682270 + ... + 3970051.

It is an arithmetic number, because the mean of its divisors is an integer number (76400782848).

Almost surely, 2^{1101100121011} is an apocalyptic number.

1101100121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101100121011 is a deficient number, since it is larger than the sum of its proper divisors (121312404557).

1101100121011 is a wasteful number, since it uses less digits than its factorization.

1101100121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652562.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101100121011 its reverse (1101210011011), we get a palindrome (2202310132022).

The spelling of 1101100121011 in words is "one trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, eleven".