110111022001 has 2 divisors, whose sum is σ = 110111022002. Its totient is φ = 110111022000.

The previous prime is 110111021959. The next prime is 110111022019. The reversal of 110111022001 is 100220111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102448645776 + 7662376225 = 320076^2 + 87535^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111022001 - 2²⁵ = 110077467569 is a prime.

It is a super-2 number, since 2×110111022001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110111022701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055511000 + 55055511001.

It is an arithmetic number, because the mean of its divisors is an integer number (55055511001).

Almost surely, 2^110111022001 is an apocalyptic number.

It is an amenable number.

110111022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111022001 is an equidigital number, since it uses as much as digits as its factorization.

110111022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110111022001 its reverse (100220111011), we get a palindrome (210331133012).

The spelling of 110111022001 in words is "one hundred ten billion, one hundred eleven million, twenty-two thousand, one".