110011101100001 has 2 divisors, whose sum is σ = 110011101100002. Its totient is φ = 110011101100000.

The previous prime is 110011101099973. The next prime is 110011101100081. The reversal of 110011101100001 is 100001101110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101216175390625 + 8794925709376 = 10060625^2 + 2965624^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011101100001 - 2¹⁸ = 110011100837857 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011101100081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005550550000 + 55005550550001.

It is an arithmetic number, because the mean of its divisors is an integer number (55005550550001).

Almost surely, 2^{110011101100001} is an apocalyptic number.

It is an amenable number.

110011101100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011101100001 is an equidigital number, since it uses as much as digits as its factorization.

110011101100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110011101100001 its reverse (100001101110011), we get a palindrome (210012202210012).

The spelling of 110011101100001 in words is "one hundred ten trillion, eleven billion, one hundred one million, one hundred thousand, one".