110010001011201 has 24 divisors (see below), whose sum is σ = 163222552794600. Its totient is φ = 71347111393536.

The previous prime is 110010001011179. The next prime is 110010001011301. The reversal of 110010001011201 is 102110100010011.

It can be written as a sum of positive squares in 4 ways, for example, as 40797601290000 + 69212399721201 = 6387300^2 + 8319399^2 .

It is not a de Polignac number, because 110010001011201 - 2⁷ = 110010001011073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110010001011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22612476 + ... + 27043373.

It is an arithmetic number, because the mean of its divisors is an integer number (6800939699775).

Almost surely, 2^{110010001011201} is an apocalyptic number.

It is an amenable number.

110010001011201 is a deficient number, since it is larger than the sum of its proper divisors (53212551783399).

110010001011201 is a wasteful number, since it uses less digits than its factorization.

110010001011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49662545 (or 49662542 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010001011201 its reverse (102110100010011), we get a palindrome (212120101021212).

The spelling of 110010001011201 in words is "one hundred ten trillion, ten billion, one million, eleven thousand, two hundred one".