1100220112101 has 32 divisors (see below), whose sum is σ = 1626466867200. Its totient is φ = 655933322880.

The previous prime is 1100220112099. The next prime is 1100220112109. The reversal of 1100220112101 is 1012110220011.

It is not a de Polignac number, because 1100220112101 - 2¹ = 1100220112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100220112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243665 + ... + 1935753.

It is an arithmetic number, because the mean of its divisors is an integer number (50827089600).

Almost surely, 2^{1100220112101} is an apocalyptic number.

1100220112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100220112101 is a deficient number, since it is larger than the sum of its proper divisors (526246755099).

1100220112101 is a wasteful number, since it uses less digits than its factorization.

1100220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692889.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100220112101 its reverse (1012110220011), we get a palindrome (2112330332112).

The spelling of 1100220112101 in words is "one trillion, one hundred billion, two hundred twenty million, one hundred twelve thousand, one hundred one".