1101121011111 has 16 divisors (see below), whose sum is σ = 1695844124928. Its totient is φ = 628090416000.

The previous prime is 1101121011007. The next prime is 1101121011143. The reversal of 1101121011111 is 1111101211011.

It is not a de Polignac number, because 1101121011111 - 2¹⁷ = 1101120880039 is a prime.

It is a super-2 number, since 2×1101121011111² (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 (1101121010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981390715 + ... + 981391836.

It is an arithmetic number, because the mean of its divisors is an integer number (105990257808).

Almost surely, 2^{1101121011111} is an apocalyptic number.

1101121011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101121011111 is a deficient number, since it is larger than the sum of its proper divisors (594723113817).

1101121011111 is a wasteful number, since it uses less digits than its factorization.

1101121011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962782582.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1101121011111 its reverse (1111101211011), we get a palindrome (2212222222122).

The spelling of 1101121011111 in words is "one trillion, one hundred one billion, one hundred twenty-one million, eleven thousand, one hundred eleven".