1101100122111 has 16 divisors (see below), whose sum is σ = 1602513895680. Its totient is φ = 666952691520.

The previous prime is 1101100122097. The next prime is 1101100122113. The reversal of 1101100122111 is 1112210011011.

It is not a de Polignac number, because 1101100122111 - 2¹⁰ = 1101100121087 is a prime.

It is a super-2 number, since 2×1101100122111² (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 (1101100122113) 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, 9459171 + ... + 9574868.

It is an arithmetic number, because the mean of its divisors is an integer number (100157118480).

Almost surely, 2^{1101100122111} is an apocalyptic number.

1101100122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101100122111 is a deficient number, since it is larger than the sum of its proper divisors (501413773569).

1101100122111 is a wasteful number, since it uses less digits than its factorization.

1101100122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19035806.

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

Adding to 1101100122111 its reverse (1112210011011), we get a palindrome (2213310133122).

The spelling of 1101100122111 in words is "one trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred eleven".