10110000110201 has 8 divisors (see below), whose sum is σ = 10207923809160. Its totient is φ = 10012170436992.

The previous prime is 10110000110131. The next prime is 10110000110207. The reversal of 10110000110201 is 10201100001101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10945344400 + 10099054765801 = 104620^2 + 3177901^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10110000110201 - 2⁴² = 5711953599097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110000110207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23290340 + ... + 23720453.

It is an arithmetic number, because the mean of its divisors is an integer number (1275990476145).

Almost surely, 2^{10110000110201} is an apocalyptic number.

It is an amenable number.

10110000110201 is a deficient number, since it is larger than the sum of its proper divisors (97923698959).

10110000110201 is a wasteful number, since it uses less digits than its factorization.

10110000110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47012875.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110000110201 its reverse (10201100001101), we get a palindrome (20311100111302).

The spelling of 10110000110201 in words is "ten trillion, one hundred ten billion, one hundred ten thousand, two hundred one".