110101221121201 has 8 divisors (see below), whose sum is σ = 110240907453000. Its totient is φ = 109961622454272.

The previous prime is 110101221121189. The next prime is 110101221121237. The reversal of 110101221121201 is 102121122101011.

It can be written as a sum of positive squares in 4 ways, for example, as 676545730576 + 109424675390625 = 822524^2 + 10460625^2 .

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 110101221121201 - 2⁵ = 110101221121169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110101221121501) 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, 19402576 + ... + 24426673.

It is an arithmetic number, because the mean of its divisors is an integer number (13780113431625).

Almost surely, 2^{110101221121201} is an apocalyptic number.

It is an amenable number.

110101221121201 is a deficient number, since it is larger than the sum of its proper divisors (139686331799).

110101221121201 is a wasteful number, since it uses less digits than its factorization.

110101221121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43832435.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110101221121201 its reverse (102121122101011), we get a palindrome (212222343222212).

The spelling of 110101221121201 in words is "one hundred ten trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred one".