111121211010101 has 8 divisors (see below), whose sum is σ = 112263657430104. Its totient is φ = 109979592755200.

The previous prime is 111121211010079. The next prime is 111121211010119. The reversal of 111121211010101 is 101010112121111.

It can be written as a sum of positive squares in 4 ways, for example, as 38660427498001 + 72460783512100 = 6217751^2 + 8512390^2 .

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 111121211010101 - 2³⁰ = 111120137268277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121211010191) 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, 206771540 + ... + 207308253.

It is an arithmetic number, because the mean of its divisors is an integer number (14032957178763).

Almost surely, 2^{111121211010101} is an apocalyptic number.

It is an amenable number.

111121211010101 is a deficient number, since it is larger than the sum of its proper divisors (1142446420003).

111121211010101 is a wasteful number, since it uses less digits than its factorization.

111121211010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414082551.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111121211010101 its reverse (101010112121111), we get a palindrome (212131323131212).

It can be divided in two parts, 1111 and 21211010101, that added together give a palindrome (21211011212).

The spelling of 111121211010101 in words is "one hundred eleven trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, one hundred one".