101011201120201 has 2 divisors, whose sum is σ = 101011201120202. Its totient is φ = 101011201120200.

The previous prime is 101011201120183. The next prime is 101011201120217. The reversal of 101011201120201 is 102021102110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76944562958025 + 24066638162176 = 8771805^2 + 4905776^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011201120201 - 2¹¹ = 101011201118153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011201120231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505600560100 + 50505600560101.

It is an arithmetic number, because the mean of its divisors is an integer number (50505600560101).

Almost surely, 2^{101011201120201} is an apocalyptic number.

It is an amenable number.

101011201120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011201120201 is an equidigital number, since it uses as much as digits as its factorization.

101011201120201 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 13.

Adding to 101011201120201 its reverse (102021102110101), we get a palindrome (203032303230302).

The spelling of 101011201120201 in words is "one hundred one trillion, eleven billion, two hundred one million, one hundred twenty thousand, two hundred one".