101211020201 has 2 divisors, whose sum is σ = 101211020202. Its totient is φ = 101211020200.

The previous prime is 101211020173. The next prime is 101211020203. The reversal of 101211020201 is 102020112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90384409600 + 10826610601 = 300640^2 + 104051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211020201 is a prime.

It is a super-2 number, since 2×101211020201² (a number of 23 digits) contains 22 as substring.

Together with 101211020203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101211020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605510100 + 50605510101.

It is an arithmetic number, because the mean of its divisors is an integer number (50605510101).

Almost surely, 2^101211020201 is an apocalyptic number.

It is an amenable number.

101211020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211020201 is an equidigital number, since it uses as much as digits as its factorization.

101211020201 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 101211020201 its reverse (102020112101), we get a palindrome (203231132302).

The spelling of 101211020201 in words is "one hundred one billion, two hundred eleven million, twenty thousand, two hundred one".