10121212110101 has 2 divisors, whose sum is σ = 10121212110102. Its totient is φ = 10121212110100.

The previous prime is 10121212110067. The next prime is 10121212110103. The reversal of 10121212110101 is 10101121212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9153347702500 + 967864407601 = 3025450^2 + 983801^2 .

It is an emirp because it is prime and its reverse (10101121212101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121212110101 is a prime.

Together with 10121212110103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121212110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060606055050 + 5060606055051.

It is an arithmetic number, because the mean of its divisors is an integer number (5060606055051).

Almost surely, 2^{10121212110101} is an apocalyptic number.

It is an amenable number.

10121212110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121212110101 is an equidigital number, since it uses as much as digits as its factorization.

10121212110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121212110101 its reverse (10101121212101), we get a palindrome (20222333322202).

The spelling of 10121212110101 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, one hundred one".