110101000991801 has 2 divisors, whose sum is σ = 110101000991802. Its totient is φ = 110101000991800.

The previous prime is 110101000991771. The next prime is 110101000991893. The reversal of 110101000991801 is 108199000101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61386519852025 + 48714481139776 = 7834955^2 + 6979576^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 108166000101011 and 110101000661801.

It is a cyclic number.

It is not a de Polignac number, because 110101000991801 - 2²⁶ = 110100933882937 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101000993801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050500495900 + 55050500495901.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500495901).

Almost surely, 2^{110101000991801} is an apocalyptic number.

It is an amenable number.

110101000991801 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101000991801 is an equidigital number, since it uses as much as digits as its factorization.

110101000991801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 110101000991801 in words is "one hundred ten trillion, one hundred one billion, nine hundred ninety-one thousand, eight hundred one".