11001002121 has 40 divisors (see below), whose sum is σ = 16716222600. Its totient is φ = 7208911872.

The previous prime is 11001002119. The next prime is 11001002149. The reversal of 11001002121 is 12120010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 465006096 + 10535996025 = 21564^2 + 102645^2 .

It is not a de Polignac number, because 11001002121 - 2¹ = 11001002119 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11001002101) 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 39 ways as a sum of consecutive naturals, for example, 1165995 + ... + 1175391.

It is an arithmetic number, because the mean of its divisors is an integer number (417905565).

Almost surely, 2^11001002121 is an apocalyptic number.

It is an amenable number.

11001002121 is a deficient number, since it is larger than the sum of its proper divisors (5715220479).

11001002121 is an equidigital number, since it uses as much as digits as its factorization.

11001002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001002121 its reverse (12120010011), we get a palindrome (23121012132).

The spelling of 11001002121 in words is "eleven billion, one million, two thousand, one hundred twenty-one".