2111112121101 has 8 divisors (see below), whose sum is σ = 2815000353984. Its totient is φ = 1407315984480.

The previous prime is 2111112121081. The next prime is 2111112121123. The reversal of 2111112121101 is 1011212111112.

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

It is not a de Polignac number, because 2111112121101 - 2¹⁰ = 2111112120077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111112121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22970560 + ... + 23062281.

It is an arithmetic number, because the mean of its divisors is an integer number (351875044248).

Almost surely, 2^{2111112121101} is an apocalyptic number.

It is an amenable number.

2111112121101 is a deficient number, since it is larger than the sum of its proper divisors (703888232883).

2111112121101 is a wasteful number, since it uses less digits than its factorization.

2111112121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46048131.

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

Adding to 2111112121101 its reverse (1011212111112), we get a palindrome (3122324232213).

The spelling of 2111112121101 in words is "two trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".