110111121220001 has 6 divisors (see below), whose sum is σ = 121031232415506. Its totient is φ = 100101019290800.

The previous prime is 110111121219997. The next prime is 110111121220013. The reversal of 110111121220001 is 100022121111011.

It can be written as a sum of positive squares in only one way, i.e., 84330886744225 + 25780234475776 = 9183185^2 + 5077424^2 .

It is not a de Polignac number, because 110111121220001 - 2² = 110111121219997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111121220801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 455004633020 + ... + 455004633261.

It is an arithmetic number, because the mean of its divisors is an integer number (20171872069251).

Almost surely, 2^{110111121220001} is an apocalyptic number.

110111121220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111121220001 is a deficient number, since it is larger than the sum of its proper divisors (10920111195505).

110111121220001 is an equidigital number, since it uses as much as digits as its factorization.

110111121220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910009266303 (or 910009266292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110111121220001 its reverse (100022121111011), we get a palindrome (210133242331012).

The spelling of 110111121220001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twenty thousand, one".