1021100101201 has 2 divisors, whose sum is σ = 1021100101202. Its totient is φ = 1021100101200.

The previous prime is 1021100101169. The next prime is 1021100101213. The reversal of 1021100101201 is 1021010011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 696764156176 + 324335945025 = 834724^2 + 569505^2 .

It is an emirp because it is prime and its reverse (1021010011201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021100101201 - 2⁵ = 1021100101169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021100101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510550050600 + 510550050601.

It is an arithmetic number, because the mean of its divisors is an integer number (510550050601).

Almost surely, 2^{1021100101201} is an apocalyptic number.

It is an amenable number.

1021100101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021100101201 is an equidigital number, since it uses as much as digits as its factorization.

1021100101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021100101201 its reverse (1021010011201), we get a palindrome (2042110112402).

The spelling of 1021100101201 in words is "one trillion, twenty-one billion, one hundred million, one hundred one thousand, two hundred one".