1121101122011 has 8 divisors (see below), whose sum is σ = 1207349246880. Its totient is φ = 1034854365312.

The previous prime is 1121101121993. The next prime is 1121101122023. The reversal of 1121101122011 is 1102211011211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121101122011 - 2¹⁴ = 1121101105627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121101121011) 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 7 ways as a sum of consecutive naturals, for example, 1908131 + ... + 2425523.

It is an arithmetic number, because the mean of its divisors is an integer number (150918655860).

Almost surely, 2^{1121101122011} is an apocalyptic number.

1121101122011 is a deficient number, since it is larger than the sum of its proper divisors (86248124869).

1121101122011 is a wasteful number, since it uses less digits than its factorization.

1121101122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684085.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1121101122011 its reverse (1102211011211), we get a palindrome (2223312133222).

The spelling of 1121101122011 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, eleven".