1101112201101 has 32 divisors (see below), whose sum is σ = 1619112370176. Its totient is φ = 660064680000.

The previous prime is 1101112201093. The next prime is 1101112201127. The reversal of 1101112201101 is 1011022111011.

It is not a de Polignac number, because 1101112201101 - 2³ = 1101112201093 is a prime.

It is a super-2 number, since 2×1101112201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101112201901) 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, 3136320 + ... + 3469686.

It is an arithmetic number, because the mean of its divisors is an integer number (50597261568).

Almost surely, 2^{1101112201101} is an apocalyptic number.

1101112201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101112201101 is a deficient number, since it is larger than the sum of its proper divisors (518000169075).

1101112201101 is a wasteful number, since it uses less digits than its factorization.

1101112201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334473.

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

Adding to 1101112201101 its reverse (1011022111011), we get a palindrome (2112134312112).

The spelling of 1101112201101 in words is "one trillion, one hundred one billion, one hundred twelve million, two hundred one thousand, one hundred one".