110001112001101 has 2 divisors, whose sum is σ = 110001112001102. Its totient is φ = 110001112001100.

The previous prime is 110001112001047. The next prime is 110001112001161. The reversal of 110001112001101 is 101100211100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84270105015625 + 25731006985476 = 9179875^2 + 5072574^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001112001101 - 2²³ = 110001103612493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001112001161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000556000550 + 55000556000551.

It is an arithmetic number, because the mean of its divisors is an integer number (55000556000551).

Almost surely, 2^{110001112001101} is an apocalyptic number.

It is an amenable number.

110001112001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001112001101 is an equidigital number, since it uses as much as digits as its factorization.

110001112001101 is an evil number, because the sum of its binary digits is even.

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

Adding to 110001112001101 its reverse (101100211100011), we get a palindrome (211101323101112).

The spelling of 110001112001101 in words is "one hundred ten trillion, one billion, one hundred twelve million, one thousand, one hundred one".