11001001121011 has 16 divisors (see below), whose sum is σ = 12267357113088. Its totient is φ = 9780251925600.

The previous prime is 11001001120997. The next prime is 11001001121029. The reversal of 11001001121011 is 11012110010011.

It is not a de Polignac number, because 11001001121011 - 2¹¹ = 11001001118963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001001121911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30553335 + ... + 30911296.

It is an arithmetic number, because the mean of its divisors is an integer number (766709819568).

Almost surely, 2^{11001001121011} is an apocalyptic number.

11001001121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001001121011 is a deficient number, since it is larger than the sum of its proper divisors (1266355992077).

11001001121011 is a wasteful number, since it uses less digits than its factorization.

11001001121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61465002.

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

Adding to 11001001121011 its reverse (11012110010011), we get a palindrome (22013111131022).

The spelling of 11001001121011 in words is "eleven trillion, one billion, one million, one hundred twenty-one thousand, eleven".