11122211112101 has 8 divisors (see below), whose sum is σ = 11152628232984. Its totient is φ = 11091815792640.

The previous prime is 11122211112097. The next prime is 11122211112107. The reversal of 11122211112101 is 10121111222111.

It can be written as a sum of positive squares in 4 ways, for example, as 1409857015876 + 9712354096225 = 1187374^2 + 3116465^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11122211112101 - 2² = 11122211112097 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 11122211112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122211112107) 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, 4428380 + ... + 6469541.

It is an arithmetic number, because the mean of its divisors is an integer number (1394078529123).

Almost surely, 2^{11122211112101} is an apocalyptic number.

It is an amenable number.

11122211112101 is a deficient number, since it is larger than the sum of its proper divisors (30417120883).

11122211112101 is a wasteful number, since it uses less digits than its factorization.

11122211112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900711.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11122211112101 its reverse (10121111222111), we get a palindrome (21243322334212).

The spelling of 11122211112101 in words is "eleven trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred one".