1121101101001 has 32 divisors (see below), whose sum is σ = 1305734411520. Its totient is φ = 942799200000.

The previous prime is 1121101100971. The next prime is 1121101101019. The reversal of 1121101101001 is 1001011011211.

It is not a de Polignac number, because 1121101101001 - 2⁵ = 1121101100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121101101041) 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 31 ways as a sum of consecutive naturals, for example, 34942995 + ... + 34975063.

It is an arithmetic number, because the mean of its divisors is an integer number (40804200360).

Almost surely, 2^{1121101101001} is an apocalyptic number.

It is an amenable number.

1121101101001 is a deficient number, since it is larger than the sum of its proper divisors (184633310519).

1121101101001 is a wasteful number, since it uses less digits than its factorization.

1121101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32625.

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

Adding to 1121101101001 its reverse (1001011011211), we get a palindrome (2122112112212).

The spelling of 1121101101001 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, one".