10111121111001 has 8 divisors (see below), whose sum is σ = 13567364209024. Its totient is φ = 6697812710160.

The previous prime is 10111121110939. The next prime is 10111121111009. The reversal of 10111121111001 is 10011112111101.

10111121111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10111121111001 - 2¹⁷ = 10111120979929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111121111009) 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, 10733673745 + ... + 10733674686.

It is an arithmetic number, because the mean of its divisors is an integer number (1695920526128).

Almost surely, 2^{10111121111001} is an apocalyptic number.

It is an amenable number.

10111121111001 is a deficient number, since it is larger than the sum of its proper divisors (3456243098023).

10111121111001 is a wasteful number, since it uses less digits than its factorization.

10111121111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21467348591.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111121111001 its reverse (10011112111101), we get a palindrome (20122233222102).

It can be divided in two parts, 1011112111100 and 1, that added together give a palindrome (1011112111101).

The spelling of 10111121111001 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one".