10121111101 has 2 divisors, whose sum is σ = 10121111102. Its totient is φ = 10121111100.

The previous prime is 10121111087. The next prime is 10121111191. The reversal of 10121111101 is 10111112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10106280900 + 14830201 = 100530^2 + 3851^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121111101 - 2¹⁷ = 10120980029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060555550 + 5060555551.

It is an arithmetic number, because the mean of its divisors is an integer number (5060555551).

Almost surely, 2^10121111101 is an apocalyptic number.

It is an amenable number.

10121111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121111101 is an equidigital number, since it uses as much as digits as its factorization.

10121111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10121111101 its reverse (10111112101), we get a palindrome (20232223202).

The spelling of 10121111101 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".