201021102101 has 2 divisors, whose sum is σ = 201021102102. Its totient is φ = 201021102100.

The previous prime is 201021102077. The next prime is 201021102103. The reversal of 201021102101 is 101201120102.

201021102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120668695876 + 80352406225 = 347374^2 + 283465^2 .

It is a cyclic number.

It is not a de Polignac number, because 201021102101 - 2²⁶ = 200953993237 is a prime.

It is a super-2 number, since 2×201021102101² (a number of 23 digits) contains 22 as substring.

Together with 201021102103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201021102103) 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, 100510551050 + 100510551051.

It is an arithmetic number, because the mean of its divisors is an integer number (100510551051).

Almost surely, 2^201021102101 is an apocalyptic number.

It is an amenable number.

201021102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201021102101 is an equidigital number, since it uses as much as digits as its factorization.

201021102101 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 201021102101 its reverse (101201120102), we get a palindrome (302222222203).

The spelling of 201021102101 in words is "two hundred one billion, twenty-one million, one hundred two thousand, one hundred one".