1011031121111 has 32 divisors (see below), whose sum is σ = 1178617278720. Its totient is φ = 857532614400.

The previous prime is 1011031121101. The next prime is 1011031121129. The reversal of 1011031121111 is 1111211301101.

It is not a de Polignac number, because 1011031121111 - 2⁶ = 1011031121047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011031121101) 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 31 ways as a sum of consecutive naturals, for example, 82345505 + ... + 82357781.

It is an arithmetic number, because the mean of its divisors is an integer number (36831789960).

Almost surely, 2^{1011031121111} is an apocalyptic number.

1011031121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011031121111 is a deficient number, since it is larger than the sum of its proper divisors (167586157609).

1011031121111 is a wasteful number, since it uses less digits than its factorization.

1011031121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18255.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1011031121111 its reverse (1111211301101), we get a palindrome (2122242422212).

The spelling of 1011031121111 in words is "one trillion, eleven billion, thirty-one million, one hundred twenty-one thousand, one hundred eleven".