210211010102101 has 2 divisors, whose sum is σ = 210211010102102. Its totient is φ = 210211010102100.

The previous prime is 210211010102099. The next prime is 210211010102161. The reversal of 210211010102101 is 101201010112012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163945642623876 + 46265367478225 = 12804126^2 + 6801865^2 .

It is a cyclic number.

It is not a de Polignac number, because 210211010102101 - 2¹ = 210211010102099 is a prime.

It is a super-2 number, since 2×210211010102101² (a number of 29 digits) contains 22 as substring.

Together with 210211010102099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210211010102161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105105505051050 + 105105505051051.

It is an arithmetic number, because the mean of its divisors is an integer number (105105505051051).

Almost surely, 2^{210211010102101} is an apocalyptic number.

It is an amenable number.

210211010102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210211010102101 is an equidigital number, since it uses as much as digits as its factorization.

210211010102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210211010102101 its reverse (101201010112012), we get a palindrome (311412020214113).

The spelling of 210211010102101 in words is "two hundred ten trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred one".