1101122101101 has 16 divisors (see below), whose sum is σ = 1601660736000. Its totient is φ = 667334815920.

The previous prime is 1101122101039. The next prime is 1101122101111. The reversal of 1101122101101 is 1011012211011.

It is not a de Polignac number, because 1101122101101 - 2¹³ = 1101122092909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101122101111) 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, 1799400 + ... + 2332398.

It is an arithmetic number, because the mean of its divisors is an integer number (100103796000).

Almost surely, 2^{1101122101101} is an apocalyptic number.

1101122101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101122101101 is a deficient number, since it is larger than the sum of its proper divisors (500538634899).

1101122101101 is a wasteful number, since it uses less digits than its factorization.

1101122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595616.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101122101101 its reverse (1011012211011), we get a palindrome (2112134312112).

The spelling of 1101122101101 in words is "one trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred one".