110113312302101 has 2 divisors, whose sum is σ = 110113312302102. Its totient is φ = 110113312302100.

The previous prime is 110113312302089. The next prime is 110113312302113. The reversal of 110113312302101 is 101203213311011.

It is a balanced prime because it is at equal distance from previous prime (110113312302089) and next prime (110113312302113).

It can be written as a sum of positive squares in only one way, i.e., 60604512312100 + 49508799990001 = 7784890^2 + 7036249^2 .

It is a cyclic number.

It is not a de Polignac number, because 110113312302101 - 2¹⁸ = 110113312039957 is a prime.

It is a super-2 number, since 2×110113312302101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110113312302181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55056656151050 + 55056656151051.

It is an arithmetic number, because the mean of its divisors is an integer number (55056656151051).

Almost surely, 2^{110113312302101} is an apocalyptic number.

It is an amenable number.

110113312302101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110113312302101 is an equidigital number, since it uses as much as digits as its factorization.

110113312302101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 110113312302101 its reverse (101203213311011), we get a palindrome (211316525613112).

The spelling of 110113312302101 in words is "one hundred ten trillion, one hundred thirteen billion, three hundred twelve million, three hundred two thousand, one hundred one".