1121001112011 has 64 divisors (see below), whose sum is σ = 1803680524800. Its totient is φ = 611267328000.

The previous prime is 1121001111961. The next prime is 1121001112103. The reversal of 1121001112011 is 1102111001211.

It is not a de Polignac number, because 1121001112011 - 2¹⁸ = 1121000849867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121001112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302060 + ... + 1984278.

It is an arithmetic number, because the mean of its divisors is an integer number (28182508200).

Almost surely, 2^{1121001112011} is an apocalyptic number.

1121001112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121001112011 is a deficient number, since it is larger than the sum of its proper divisors (682679412789).

1121001112011 is a wasteful number, since it uses less digits than its factorization.

1121001112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682380.

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

Adding to 1121001112011 its reverse (1102111001211), we get a palindrome (2223112113222).

The spelling of 1121001112011 in words is "one trillion, one hundred twenty-one billion, one million, one hundred twelve thousand, eleven".