101110011000121 has 2 divisors, whose sum is σ = 101110011000122. Its totient is φ = 101110011000120.

The previous prime is 101110011000071. The next prime is 101110011000149. The reversal of 101110011000121 is 121000110011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61228121025600 + 39881889974521 = 7824840^2 + 6315211^2 .

It is an emirp because it is prime and its reverse (121000110011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110011000121 - 2³⁷ = 100972572046649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110011000098 and 101110011000107.

It is not a weakly prime, because it can be changed into another prime (101110011300121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005500060 + 50555005500061.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005500061).

Almost surely, 2^{101110011000121} is an apocalyptic number.

It is an amenable number.

101110011000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110011000121 is an equidigital number, since it uses as much as digits as its factorization.

101110011000121 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 101110011000121 its reverse (121000110011101), we get a palindrome (222110121011222).

The spelling of 101110011000121 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred twenty-one", and thus it is an aban number.