101102021201 has 2 divisors, whose sum is σ = 101102021202. Its totient is φ = 101102021200.

The previous prime is 101102021179. The next prime is 101102021287. The reversal of 101102021201 is 102120201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99951454801 + 1150566400 = 316151^2 + 33920^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102021201 - 2¹⁰ = 101102020177 is a prime.

It is not a weakly prime, because it can be changed into another prime (101192021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551010600 + 50551010601.

It is an arithmetic number, because the mean of its divisors is an integer number (50551010601).

Almost surely, 2^101102021201 is an apocalyptic number.

It is an amenable number.

101102021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102021201 is an equidigital number, since it uses as much as digits as its factorization.

101102021201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102021201 its reverse (102120201101), we get a palindrome (203222222302).

The spelling of 101102021201 in words is "one hundred one billion, one hundred two million, twenty-one thousand, two hundred one".