1121011101001 has 16 divisors (see below), whose sum is σ = 1286139691008. Its totient is φ = 967116704400.

The previous prime is 1121011100983. The next prime is 1121011101013. The reversal of 1121011101001 is 1001011101211.

It is not a de Polignac number, because 1121011101001 - 2³⁵ = 1086651362633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121011101071) 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 15 ways as a sum of consecutive naturals, for example, 17412255 + ... + 17476516.

It is an arithmetic number, because the mean of its divisors is an integer number (80383730688).

Almost surely, 2^{1121011101001} is an apocalyptic number.

1121011101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121011101001 is a deficient number, since it is larger than the sum of its proper divisors (165128590007).

1121011101001 is a wasteful number, since it uses less digits than its factorization.

1121011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34888932.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1121011101001 its reverse (1001011101211), we get a palindrome (2122022202212).

The spelling of 1121011101001 in words is "one trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, one".