1100121010011 has 8 divisors (see below), whose sum is σ = 1629808903760. Its totient is φ = 733414006656.

The previous prime is 1100121009997. The next prime is 1100121010057. The reversal of 1100121010011 is 1100101210011.

It is not a de Polignac number, because 1100121010011 - 2²³ = 1100112621403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100121009975 and 1100121010002.

It is not an unprimeable number, because it can be changed into a prime (1100121014011) 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 7 ways as a sum of consecutive naturals, for example, 20372611270 + ... + 20372611323.

It is an arithmetic number, because the mean of its divisors is an integer number (203726112970).

Almost surely, 2^{1100121010011} is an apocalyptic number.

1100121010011 is a deficient number, since it is larger than the sum of its proper divisors (529687893749).

1100121010011 is an equidigital number, since it uses as much as digits as its factorization.

1100121010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40745222602 (or 40745222596 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100121010011 its reverse (1100101210011), we get a palindrome (2200222220022).

The spelling of 1100121010011 in words is "one trillion, one hundred billion, one hundred twenty-one million, ten thousand, eleven".