10111001001121 has 2 divisors, whose sum is σ = 10111001001122. Its totient is φ = 10111001001120.

The previous prime is 10111001001061. The next prime is 10111001001139. The reversal of 10111001001121 is 12110010011101.

10111001001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9085974347025 + 1025026654096 = 3014295^2 + 1012436^2 .

It is an emirp because it is prime and its reverse (12110010011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111001001121 - 2¹⁹ = 10111000476833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111001001098 and 10111001001107.

It is not a weakly prime, because it can be changed into another prime (10111001001161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500500560 + 5055500500561.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500500561).

Almost surely, 2^{10111001001121} is an apocalyptic number.

It is an amenable number.

10111001001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001001121 is an equidigital number, since it uses as much as digits as its factorization.

10111001001121 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 10111001001121 its reverse (12110010011101), we get a palindrome (22221011012222).

The spelling of 10111001001121 in words is "ten trillion, one hundred eleven billion, one million, one thousand, one hundred twenty-one".