101110221212101 has 2 divisors, whose sum is σ = 101110221212102. Its totient is φ = 101110221212100.

The previous prime is 101110221212093. The next prime is 101110221212129. The reversal of 101110221212101 is 101212122011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75401001390625 + 25709219821476 = 8683375^2 + 5070426^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110221212101 - 2³ = 101110221212093 is a prime.

It is a super-3 number, since 3×101110221212101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110221212171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555110606050 + 50555110606051.

It is an arithmetic number, because the mean of its divisors is an integer number (50555110606051).

Almost surely, 2^{101110221212101} is an apocalyptic number.

It is an amenable number.

101110221212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110221212101 is an equidigital number, since it uses as much as digits as its factorization.

101110221212101 is an evil number, because the sum of its binary digits is even.

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

Adding to 101110221212101 its reverse (101212122011101), we get a palindrome (202322343223202).

The spelling of 101110221212101 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, one hundred one".