10011122112001 has 4 divisors (see below), whose sum is σ = 10025403314004. Its totient is φ = 9996840910000.

The previous prime is 10011122111989. The next prime is 10011122112109. The reversal of 10011122112001 is 10021122111001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6313485402225 + 3697636709776 = 2512665^2 + 1922924^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011122112001 - 2⁹ = 10011122111489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011122172001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7140599950 + ... + 7140601351.

It is an arithmetic number, because the mean of its divisors is an integer number (2506350828501).

Almost surely, 2^{10011122112001} is an apocalyptic number.

It is an amenable number.

10011122112001 is a deficient number, since it is larger than the sum of its proper divisors (14281202003).

10011122112001 is an equidigital number, since it uses as much as digits as its factorization.

10011122112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281202002.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011122112001 its reverse (10021122111001), we get a palindrome (20032244223002).

It can be divided in two parts, 1001112 and 2112001, that added together give a palindrome (3113113).

The spelling of 10011122112001 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, one".