11112121122101 has 8 divisors (see below), whose sum is σ = 11765813393880. Its totient is φ = 10458433082368.

The previous prime is 11112121122073. The next prime is 11112121122187. The reversal of 11112121122101 is 10122112121111.

It can be written as a sum of positive squares in 4 ways, for example, as 7382491121476 + 3729630000625 = 2717074^2 + 1931225^2 .

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 11112121122101 - 2²² = 11112116927797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 11112121122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112121127101) 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, 5514455 + ... + 7254891.

It is an arithmetic number, because the mean of its divisors is an integer number (1470726674235).

Almost surely, 2^{11112121122101} is an apocalyptic number.

It is an amenable number.

11112121122101 is a deficient number, since it is larger than the sum of its proper divisors (653692271779).

11112121122101 is a wasteful number, since it uses less digits than its factorization.

11112121122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116023.

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

Adding to 11112121122101 its reverse (10122112121111), we get a palindrome (21234233243212).

The spelling of 11112121122101 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".