1111122100011 has 64 divisors (see below), whose sum is σ = 1888962969600. Its totient is φ = 564256368000.

The previous prime is 1111122100009. The next prime is 1111122100037. The reversal of 1111122100011 is 1100012211111.

It is not a de Polignac number, because 1111122100011 - 2¹ = 1111122100009 is a prime.

It is a super-2 number, since 2×1111122100011² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1111122100011.

It is not an unprimeable number, because it can be changed into a prime (1111122100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1541730 + ... + 2144568.

It is an arithmetic number, because the mean of its divisors is an integer number (29515046400).

Almost surely, 2^{1111122100011} is an apocalyptic number.

1111122100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111122100011 is a deficient number, since it is larger than the sum of its proper divisors (777840869589).

1111122100011 is a wasteful number, since it uses less digits than its factorization.

1111122100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603040.

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

Adding to 1111122100011 its reverse (1100012211111), we get a palindrome (2211134311122).

It can be divided in two parts, 11111 and 22100011, that added together give a palindrome (22111122).

The spelling of 1111122100011 in words is "one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thousand, eleven".