10101001110121 has 2 divisors, whose sum is σ = 10101001110122. Its totient is φ = 10101001110120.

The previous prime is 10101001110071. The next prime is 10101001110169. The reversal of 10101001110121 is 12101110010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836588569600 + 1264412540521 = 2972640^2 + 1124461^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001110121 - 2¹⁵ = 10101001077353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101001110098 and 10101001110107.

It is not a weakly prime, because it can be changed into another prime (10101001113121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500555060 + 5050500555061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500555061).

Almost surely, 2^{10101001110121} is an apocalyptic number.

It is an amenable number.

10101001110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001110121 is an equidigital number, since it uses as much as digits as its factorization.

10101001110121 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 10101001110121 its reverse (12101110010101), we get a palindrome (22202111120222).

The spelling of 10101001110121 in words is "ten trillion, one hundred one billion, one million, one hundred ten thousand, one hundred twenty-one".