110112222212101 has 2 divisors, whose sum is σ = 110112222212102. Its totient is φ = 110112222212100.

The previous prime is 110112222212089. The next prime is 110112222212119. The reversal of 110112222212101 is 101212222211011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71265236631876 + 38846985580225 = 8441874^2 + 6232735^2 .

It is a cyclic number.

It is not a de Polignac number, because 110112222212101 - 2³⁷ = 109974783258629 is a prime.

It is a super-4 number, since 4×110112222212101⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110112222212701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55056111106050 + 55056111106051.

It is an arithmetic number, because the mean of its divisors is an integer number (55056111106051).

Almost surely, 2^{110112222212101} is an apocalyptic number.

It is an amenable number.

110112222212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110112222212101 is an equidigital number, since it uses as much as digits as its factorization.

110112222212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110112222212101 its reverse (101212222211011), we get a palindrome (211324444423112).

The spelling of 110112222212101 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".