11010121101 has 60 divisors (see below), whose sum is σ = 19156417500. Its totient is φ = 6283630080.

The previous prime is 11010121093. The next prime is 11010121103. The reversal of 11010121101 is 10112101011.

It can be written as a sum of positive squares in 2 ways, for example, as 6004700100 + 5005421001 = 77490^2 + 70749^2 .

It is not a de Polignac number, because 11010121101 - 2³ = 11010121093 is a prime.

It is a super-3 number, since 3×11010121101³ (a number of 31 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4956171 + ... + 4958391.

It is an arithmetic number, because the mean of its divisors is an integer number (319273625).

Almost surely, 2^11010121101 is an apocalyptic number.

It is an amenable number.

11010121101 is a deficient number, since it is larger than the sum of its proper divisors (8146296399).

11010121101 is a wasteful number, since it uses less digits than its factorization.

11010121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3480 counting only the distinct ones).

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

Adding to 11010121101 its reverse (10112101011), we get a palindrome (21122222112).

The spelling of 11010121101 in words is "eleven billion, ten million, one hundred twenty-one thousand, one hundred one".