101110112021101 has 8 divisors (see below), whose sum is σ = 101339873790840. Its totient is φ = 100880387432448.

The previous prime is 101110112021099. The next prime is 101110112021111. The reversal of 101110112021101 is 101120211011101.

It can be written as a sum of positive squares in 4 ways, for example, as 45755768018601 + 55354344002500 = 6764301^2 + 7440050^2 .

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 101110112021101 - 2¹ = 101110112021099 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 (101110112021111) 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, 3846676 + ... + 14731501.

It is an arithmetic number, because the mean of its divisors is an integer number (12667484223855).

Almost surely, 2^{101110112021101} is an apocalyptic number.

It is an amenable number.

101110112021101 is a deficient number, since it is larger than the sum of its proper divisors (229761769739).

101110112021101 is a wasteful number, since it uses less digits than its factorization.

101110112021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18590543.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110112021101 its reverse (101120211011101), we get a palindrome (202230323032202).

The spelling of 101110112021101 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, twenty-one thousand, one hundred one".