110101201100801 has 2 divisors, whose sum is σ = 110101201100802. Its totient is φ = 110101201100800.

The previous prime is 110101201100767. The next prime is 110101201100809. The reversal of 110101201100801 is 108001102101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103141898574400 + 6959302526401 = 10155880^2 + 2638049^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101201100801 - 2¹⁴ = 110101201084417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101201100801.

It is not a weakly prime, because it can be changed into another prime (110101201100809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050600550400 + 55050600550401.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600550401).

Almost surely, 2^{110101201100801} is an apocalyptic number.

It is an amenable number.

110101201100801 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101201100801 is an equidigital number, since it uses as much as digits as its factorization.

110101201100801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 110101201100801 its reverse (108001102101011), we get a palindrome (218102303201812).

The spelling of 110101201100801 in words is "one hundred ten trillion, one hundred one billion, two hundred one million, one hundred thousand, eight hundred one".