10000111121101 has 16 divisors (see below), whose sum is σ = 10953649569600. Its totient is φ = 9087171912448.

The previous prime is 10000111121093. The next prime is 10000111121149. The reversal of 10000111121101 is 10112111100001.

It is a cyclic number.

It is not a de Polignac number, because 10000111121101 - 2³ = 10000111121093 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 (10000111121201) 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, 38946726 + ... + 39202648.

It is an arithmetic number, because the mean of its divisors is an integer number (684603098100).

Almost surely, 2^{10000111121101} is an apocalyptic number.

It is an amenable number.

10000111121101 is a deficient number, since it is larger than the sum of its proper divisors (953538448499).

10000111121101 is a wasteful number, since it uses less digits than its factorization.

10000111121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335228.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10000111121101 its reverse (10112111100001), we get a palindrome (20112222221102).

The spelling of 10000111121101 in words is "ten trillion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".