1011111201111 has 16 divisors (see below), whose sum is σ = 1471211526528. Its totient is φ = 612584532000.

The previous prime is 1011111201073. The next prime is 1011111201193. The reversal of 1011111201111 is 1111021111101.

It is not a de Polignac number, because 1011111201111 - 2⁶ = 1011111201047 is a prime.

It is a super-2 number, since 2×1011111201111² (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 (1011111209111) 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, 5155665 + ... + 5348186.

It is an arithmetic number, because the mean of its divisors is an integer number (91950720408).

Almost surely, 2^{1011111201111} is an apocalyptic number.

1011111201111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011111201111 is a deficient number, since it is larger than the sum of its proper divisors (460100325417).

1011111201111 is a wasteful number, since it uses less digits than its factorization.

1011111201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506782.

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

Adding to 1011111201111 its reverse (1111021111101), we get a palindrome (2122132312212).

The spelling of 1011111201111 in words is "one trillion, eleven billion, one hundred eleven million, two hundred one thousand, one hundred eleven".