10011011121101 has 8 divisors (see below), whose sum is σ = 10070413476600. Its totient is φ = 9951745167360.

The previous prime is 10011011121029. The next prime is 10011011121151. The reversal of 10011011121101 is 10112111011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5355989118601 + 4655022002500 = 2314301^2 + 2157550^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10011011121101 - 2¹⁸ = 10011010858957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011121151) 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, 33953216 + ... + 34246793.

It is an arithmetic number, because the mean of its divisors is an integer number (1258801684575).

Almost surely, 2^{10011011121101} is an apocalyptic number.

It is an amenable number.

10011011121101 is a deficient number, since it is larger than the sum of its proper divisors (59402355499).

10011011121101 is an equidigital number, since it uses as much as digits as its factorization.

10011011121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68200879.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10011011121101 its reverse (10112111011001), we get a palindrome (20123122132102).

The spelling of 10011011121101 in words is "ten trillion, eleven billion, eleven million, one hundred twenty-one thousand, one hundred one".