10011121101101 has 8 divisors (see below), whose sum is σ = 10012833895680. Its totient is φ = 10009408474768.

The previous prime is 10011121101083. The next prime is 10011121101103. The reversal of 10011121101101 is 10110112111001.

It is a happy number.

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 10011121101101 - 2¹⁴ = 10011121084717 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 (10011121101103) 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, 174780095 + ... + 174837363.

It is an arithmetic number, because the mean of its divisors is an integer number (1251604236960).

Almost surely, 2^{10011121101101} is an apocalyptic number.

It is an amenable number.

10011121101101 is a deficient number, since it is larger than the sum of its proper divisors (1712794579).

10011121101101 is a wasteful number, since it uses less digits than its factorization.

10011121101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84123.

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

Adding to 10011121101101 its reverse (10110112111001), we get a palindrome (20121233212102).

The spelling of 10011121101101 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred one".