10011121111201 has 16 divisors (see below), whose sum is σ = 11467179114880. Its totient is φ = 8561559202560.

The previous prime is 10011121111169. The next prime is 10011121111237. The reversal of 10011121111201 is 10211112111001.

It is not a de Polignac number, because 10011121111201 - 2⁵ = 10011121111169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011121111001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4658071 + ... + 6459091.

It is an arithmetic number, because the mean of its divisors is an integer number (716698694680).

Almost surely, 2^{10011121111201} is an apocalyptic number.

It is an amenable number.

10011121111201 is a deficient number, since it is larger than the sum of its proper divisors (1456058003679).

10011121111201 is a wasteful number, since it uses less digits than its factorization.

10011121111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802824.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10011121111201 its reverse (10211112111001), we get a palindrome (20222233222202).

The spelling of 10011121111201 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".