10101121212101 has 2 divisors, whose sum is σ = 10101121212102. Its totient is φ = 10101121212100.

The previous prime is 10101121212097. The next prime is 10101121212109. The reversal of 10101121212101 is 10121212110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8797244980225 + 1303876231876 = 2966015^2 + 1141874^2 .

It is an emirp because it is prime and its reverse (10121212110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101121212101 - 2² = 10101121212097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101121212109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050560606050 + 5050560606051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050560606051).

Almost surely, 2^{10101121212101} is an apocalyptic number.

It is an amenable number.

10101121212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101121212101 is an equidigital number, since it uses as much as digits as its factorization.

10101121212101 is an evil number, because the sum of its binary digits is even.

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

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

The spelling of 10101121212101 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".