101101012220141 has 2 divisors, whose sum is σ = 101101012220142. Its totient is φ = 101101012220140.

The previous prime is 101101012220083. The next prime is 101101012220227. The reversal of 101101012220141 is 141022210101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80976331729225 + 20124680490916 = 8998685^2 + 4486054^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101012220141 - 2⁶ = 101101012220077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101012220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550506110070 + 50550506110071.

It is an arithmetic number, because the mean of its divisors is an integer number (50550506110071).

Almost surely, 2^{101101012220141} is an apocalyptic number.

It is an amenable number.

101101012220141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101012220141 is an equidigital number, since it uses as much as digits as its factorization.

101101012220141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101101012220141 its reverse (141022210101101), we get a palindrome (242123222321242).

The spelling of 101101012220141 in words is "one hundred one trillion, one hundred one billion, twelve million, two hundred twenty thousand, one hundred forty-one".