10211122102123 has 2 divisors, whose sum is σ = 10211122102124. Its totient is φ = 10211122102122.

The previous prime is 10211122101997. The next prime is 10211122102127. The reversal of 10211122102123 is 32120122111201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10211122102123 - 2⁴¹ = 8012098846571 is a prime.

It is a super-2 number, since 2×10211122102123² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10211122102123.

It is not a weakly prime, because it can be changed into another prime (10211122102127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105561051061 + 5105561051062.

It is an arithmetic number, because the mean of its divisors is an integer number (5105561051062).

Almost surely, 2^{10211122102123} is an apocalyptic number.

10211122102123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211122102123 is an equidigital number, since it uses as much as digits as its factorization.

10211122102123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10211122102123 its reverse (32120122111201), we get a palindrome (42331244213324).

The spelling of 10211122102123 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-three".