10100122101011 has 2 divisors, whose sum is σ = 10100122101012. Its totient is φ = 10100122101010.

The previous prime is 10100122100987. The next prime is 10100122101053. The reversal of 10100122101011 is 11010122100101.

It is a weak prime.

It is an emirp because it is prime and its reverse (11010122100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100122101011 - 2⁶ = 10100122100947 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100122100983 and 10100122101001.

It is not a weakly prime, because it can be changed into another prime (10100122103011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061050505 + 5050061050506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061050506).

Almost surely, 2^{10100122101011} is an apocalyptic number.

10100122101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122101011 is an equidigital number, since it uses as much as digits as its factorization.

10100122101011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100122101011 its reverse (11010122100101), we get a palindrome (21110244201112).

The spelling of 10100122101011 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, eleven".