11010120122001 has 96 divisors (see below), whose sum is σ = 19895054699520. Its totient is φ = 5270191597440.

The previous prime is 11010120121967. The next prime is 11010120122003. The reversal of 11010120122001 is 10022102101011.

11010120122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11010120122001 - 2⁶ = 11010120121937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11010120122003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18301570 + ... + 18893588.

It is an arithmetic number, because the mean of its divisors is an integer number (207240153120).

Almost surely, 2^{11010120122001} is an apocalyptic number.

11010120122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010120122001 is a deficient number, since it is larger than the sum of its proper divisors (8884934577519).

11010120122001 is a wasteful number, since it uses less digits than its factorization.

11010120122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592627 (or 592616 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11010120122001 its reverse (10022102101011), we get a palindrome (21032222223012).

It can be divided in two parts, 11010120 and 122001, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 11010120122001 in words is "eleven trillion, ten billion, one hundred twenty million, one hundred twenty-two thousand, one".