10111222211101 has 8 divisors (see below), whose sum is σ = 11139636352608. Its totient is φ = 9101010090000.

The previous prime is 10111222211071. The next prime is 10111222211117.

10111222211101 is nontrivially palindromic in base 10.

10111222211101 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111222211101 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 (10111222211191) 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, 4550503935 + ... + 4550506156.

It is an arithmetic number, because the mean of its divisors is an integer number (1392454544076).

Almost surely, 2^{10111222211101} is an apocalyptic number.

10111222211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111222211101 is a deficient number, since it is larger than the sum of its proper divisors (1028414141507).

10111222211101 is a wasteful number, since it uses less digits than its factorization.

10111222211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101010203.

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1011122 and 2211101, that added together give a palindrome (3222223).

The spelling of 10111222211101 in words is "ten trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred one".