110010100001201 has 16 divisors (see below), whose sum is σ = 113506136403408. Its totient is φ = 106553917516800.

The previous prime is 110010100001173. The next prime is 110010100001209. The reversal of 110010100001201 is 102100001010011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43989989925025 + 66020110076176 = 6632495^2 + 8125276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110010100001201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010100001209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516611 + ... + 14842071.

It is an arithmetic number, because the mean of its divisors is an integer number (7094133525213).

Almost surely, 2^{110010100001201} is an apocalyptic number.

It is an amenable number.

110010100001201 is a deficient number, since it is larger than the sum of its proper divisors (3496036402207).

110010100001201 is a wasteful number, since it uses less digits than its factorization.

110010100001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326852.

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

Adding to 110010100001201 its reverse (102100001010011), we get a palindrome (212110101011212).

The spelling of 110010100001201 in words is "one hundred ten trillion, ten billion, one hundred million, one thousand, two hundred one".