101102220221201 has 2 divisors, whose sum is σ = 101102220221202. Its totient is φ = 101102220221200.

The previous prime is 101102220221179. The next prime is 101102220221227. The reversal of 101102220221201 is 102122022201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100644053686801 + 458166534400 = 10032151^2 + 676880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102220221201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101102220221201.

It is not a weakly prime, because it can be changed into another prime (101102220221801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551110110600 + 50551110110601.

It is an arithmetic number, because the mean of its divisors is an integer number (50551110110601).

Almost surely, 2^{101102220221201} is an apocalyptic number.

It is an amenable number.

101102220221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102220221201 is an equidigital number, since it uses as much as digits as its factorization.

101102220221201 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 17.

Adding to 101102220221201 its reverse (102122022201101), we get a palindrome (203224242422302).

The spelling of 101102220221201 in words is "one hundred one trillion, one hundred two billion, two hundred twenty million, two hundred twenty-one thousand, two hundred one".