11111022112101 has 16 divisors (see below), whose sum is σ = 15675217103040. Its totient is φ = 6981127603200.

The previous prime is 11111022112081. The next prime is 11111022112111. The reversal of 11111022112101 is 10121122011111.

It is not a de Polignac number, because 11111022112101 - 2⁶ = 11111022112037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111022112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504989550 + ... + 505011551.

It is an arithmetic number, because the mean of its divisors is an integer number (979701068940).

Almost surely, 2^{11111022112101} is an apocalyptic number.

It is an amenable number.

11111022112101 is a deficient number, since it is larger than the sum of its proper divisors (4564194990939).

11111022112101 is a wasteful number, since it uses less digits than its factorization.

11111022112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010001316.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11111022112101 its reverse (10121122011111), we get a palindrome (21232144123212).

The spelling of 11111022112101 in words is "eleven trillion, one hundred eleven billion, twenty-two million, one hundred twelve thousand, one hundred one".