11001121211121 has 8 divisors (see below), whose sum is σ = 14668306055040. Its totient is φ = 7334008587312.

The previous prime is 11001121211111. The next prime is 11001121211131. The reversal of 11001121211121 is 12111212110011.

It is an interprime number because it is at equal distance from previous prime (11001121211111) and next prime (11001121211131).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11001121211121 - 2⁷ = 11001121210993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001121211121.

It is not an unprimeable number, because it can be changed into a prime (11001121211111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17698590 + ... + 18309623.

It is an arithmetic number, because the mean of its divisors is an integer number (1833538256880).

Almost surely, 2^{11001121211121} is an apocalyptic number.

It is an amenable number.

11001121211121 is a deficient number, since it is larger than the sum of its proper divisors (3667184843919).

11001121211121 is a wasteful number, since it uses less digits than its factorization.

11001121211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36110055.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11001121211121 its reverse (12111212110011), we get a palindrome (23112333321132).

The spelling of 11001121211121 in words is "eleven trillion, one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".