110000001214001 has 8 divisors (see below), whose sum is σ = 110974471475400. Its totient is φ = 109025548828672.

The previous prime is 110000001213979. The next prime is 110000001214049. The reversal of 110000001214001 is 100412100000011.

It can be written as a sum of positive squares in 4 ways, for example, as 50481877603600 + 59518123610401 = 7105060^2 + 7714799^2 .

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 110000001214001 - 2³⁰ = 109998927472177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110000001214091) 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, 8047025 + ... + 16874673.

It is an arithmetic number, because the mean of its divisors is an integer number (13871808934425).

Almost surely, 2^{110000001214001} is an apocalyptic number.

It is an amenable number.

110000001214001 is a deficient number, since it is larger than the sum of its proper divisors (974470261399).

110000001214001 is a wasteful number, since it uses less digits than its factorization.

110000001214001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938035.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110000001214001 its reverse (100412100000011), we get a palindrome (210412101214012).

The spelling of 110000001214001 in words is "one hundred ten trillion, one million, two hundred fourteen thousand, one".