10211020106101 has 2 divisors, whose sum is σ = 10211020106102. Its totient is φ = 10211020106100.

The previous prime is 10211020106099. The next prime is 10211020106123. The reversal of 10211020106101 is 10160102011201.

10211020106101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10190453678001 + 20566428100 = 3192249^2 + 143410^2 .

It is an emirp because it is prime and its reverse (10160102011201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10211020106101 - 2¹ = 10211020106099 is a prime.

It is a super-4 number, since 4×10211020106101⁴ (a number of 53 digits) contains 4444 as substring.

Together with 10211020106099, 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 (10211020106141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105510053050 + 5105510053051.

It is an arithmetic number, because the mean of its divisors is an integer number (5105510053051).

Almost surely, 2^{10211020106101} is an apocalyptic number.

It is an amenable number.

10211020106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211020106101 is an equidigital number, since it uses as much as digits as its factorization.

10211020106101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10211020106101 its reverse (10160102011201), we get a palindrome (20371122117302).

The spelling of 10211020106101 in words is "ten trillion, two hundred eleven billion, twenty million, one hundred six thousand, one hundred one".