101101020221801 has 2 divisors, whose sum is σ = 101101020221802. Its totient is φ = 101101020221800.

The previous prime is 101101020221783. The next prime is 101101020221833. The reversal of 101101020221801 is 108122020101101.

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., 82800463474576 + 18300556747225 = 9099476^2 + 4277915^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101020221801 - 2¹⁰ = 101101020220777 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101020521801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550510110900 + 50550510110901.

It is an arithmetic number, because the mean of its divisors is an integer number (50550510110901).

Almost surely, 2^{101101020221801} is an apocalyptic number.

It is an amenable number.

101101020221801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101020221801 is an equidigital number, since it uses as much as digits as its factorization.

101101020221801 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 20.

Adding to 101101020221801 its reverse (108122020101101), we get a palindrome (209223040322902).

The spelling of 101101020221801 in words is "one hundred one trillion, one hundred one billion, twenty million, two hundred twenty-one thousand, eight hundred one".