111102100010101 has 8 divisors (see below), whose sum is σ = 117637794103320. Its totient is φ = 104566436633088.

The previous prime is 111102100010087. The next prime is 111102100010117. The reversal of 111102100010101 is 101010001201111.

It can be written as a sum of positive squares in 4 ways, for example, as 39680248199076 + 71421851811025 = 6299226^2 + 8451145^2 .

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 111102100010101 - 2¹⁹ = 111102099485813 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 (111102100020101) 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, 13536 + ... + 14906521.

It is an arithmetic number, because the mean of its divisors is an integer number (14704724262915).

Almost surely, 2^{111102100010101} is an apocalyptic number.

It is an amenable number.

111102100010101 is a deficient number, since it is larger than the sum of its proper divisors (6535694093219).

111102100010101 is a wasteful number, since it uses less digits than its factorization.

111102100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15358103.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111102100010101 its reverse (101010001201111), we get a palindrome (212112101211212).

The spelling of 111102100010101 in words is "one hundred eleven trillion, one hundred two billion, one hundred million, ten thousand, one hundred one".