101226100441 has 2 divisors, whose sum is σ = 101226100442. Its totient is φ = 101226100440.

The previous prime is 101226100429. The next prime is 101226100447. The reversal of 101226100441 is 144001622101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72767760025 + 28458340416 = 269755^2 + 168696^2 .

It is a cyclic number.

It is not a de Polignac number, because 101226100441 - 2¹³ = 101226092249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101226100447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50613050220 + 50613050221.

It is an arithmetic number, because the mean of its divisors is an integer number (50613050221).

Almost surely, 2^101226100441 is an apocalyptic number.

It is an amenable number.

101226100441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101226100441 is an equidigital number, since it uses as much as digits as its factorization.

101226100441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101226100441 its reverse (144001622101), we get a palindrome (245227722542).

The spelling of 101226100441 in words is "one hundred one billion, two hundred twenty-six million, one hundred thousand, four hundred forty-one".