10122222111101 has 8 divisors (see below), whose sum is σ = 10236071849400. Its totient is φ = 10008374970880.

The previous prime is 10122222111061. The next prime is 10122222111151. The reversal of 10122222111101 is 10111122222101.

It can be written as a sum of positive squares in 4 ways, for example, as 646592892100 + 9475629219001 = 804110^2 + 3078251^2 .

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-10122222111101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122222111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122222111151) 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, 7801205 + ... + 9005733.

It is an arithmetic number, because the mean of its divisors is an integer number (1279508981175).

Almost surely, 2^{10122222111101} is an apocalyptic number.

It is an amenable number.

10122222111101 is a deficient number, since it is larger than the sum of its proper divisors (113849738299).

10122222111101 is an equidigital number, since it uses as much as digits as its factorization.

10122222111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299039.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10122222111101 its reverse (10111122222101), we get a palindrome (20233344333202).

The spelling of 10122222111101 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred eleven thousand, one hundred one".