101011110121 has 2 divisors, whose sum is σ = 101011110122. Its totient is φ = 101011110120.

The previous prime is 101011110097. The next prime is 101011110139. The reversal of 101011110121 is 121011110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66120979600 + 34890130521 = 257140^2 + 186789^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011110121 - 2¹⁵ = 101011077353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011110098 and 101011110107.

It is not a weakly prime, because it can be changed into another prime (101011110181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555060 + 50505555061.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555061).

Almost surely, 2^101011110121 is an apocalyptic number.

It is an amenable number.

101011110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011110121 is an equidigital number, since it uses as much as digits as its factorization.

101011110121 is an evil number, because the sum of its binary digits is even.

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

Adding to 101011110121 its reverse (121011110101), we get a palindrome (222022220222).

The spelling of 101011110121 in words is "one hundred one billion, eleven million, one hundred ten thousand, one hundred twenty-one".