10211122122101 has 4 divisors (see below), whose sum is σ = 10250854115052. Its totient is φ = 10171390129152.

The previous prime is 10211122122083. The next prime is 10211122122161. The reversal of 10211122122101 is 10122122111201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5892144535876 + 4318977586225 = 2427374^2 + 2078215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211122122101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211122122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211122122161) 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 in 3 ways as a sum of consecutive naturals, for example, 19865996090 + ... + 19865996603.

It is an arithmetic number, because the mean of its divisors is an integer number (2562713528763).

Almost surely, 2^{10211122122101} is an apocalyptic number.

It is an amenable number.

10211122122101 is a deficient number, since it is larger than the sum of its proper divisors (39731992951).

10211122122101 is an equidigital number, since it uses as much as digits as its factorization.

10211122122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39731992950.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10211122122101 its reverse (10122122111201), we get a palindrome (20333244233302).

The spelling of 10211122122101 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".