11001121101201 has 32 divisors (see below), whose sum is σ = 18468643101696. Its totient is φ = 5658285240000.

The previous prime is 11001121101167. The next prime is 11001121101253. The reversal of 11001121101201 is 10210112110011.

It is not a de Polignac number, because 11001121101201 - 2⁷ = 11001121101073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001121101601) 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, 235738555 + ... + 235785216.

It is an arithmetic number, because the mean of its divisors is an integer number (577145096928).

Almost surely, 2^{11001121101201} is an apocalyptic number.

11001121101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001121101201 is a deficient number, since it is larger than the sum of its proper divisors (7467522000495).

11001121101201 is a wasteful number, since it uses less digits than its factorization.

11001121101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471523893.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11001121101201 its reverse (10210112110011), we get a palindrome (21211233211212).

It can be divided in two parts, 110011 and 21101201, that added together give a palindrome (21211212).

The spelling of 11001121101201 in words is "eleven trillion, one billion, one hundred twenty-one million, one hundred one thousand, two hundred one".