11000120120001 has 6 divisors (see below), whose sum is σ = 15889062395570. Its totient is φ = 7333413413328.

The previous prime is 11000120119997. The next prime is 11000120120047. The reversal of 11000120120001 is 10002102100011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7516014156225 + 3484105963776 = 2741535^2 + 1866576^2 .

It is not a de Polignac number, because 11000120120001 - 2² = 11000120119997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222235568889 = 11000120120001 / (1 + 1 + 0 + 0 + 0 + 1 + 2 + 0 + 1 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000120120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611117784436 + ... + 611117784453.

Almost surely, 2^{11000120120001} is an apocalyptic number.

It is an amenable number.

11000120120001 is a deficient number, since it is larger than the sum of its proper divisors (4888942275569).

11000120120001 is a wasteful number, since it uses less digits than its factorization.

11000120120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222235568895 (or 1222235568892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000120120001 its reverse (10002102100011), we get a palindrome (21002222220012).

The spelling of 11000120120001 in words is "eleven trillion, one hundred twenty million, one hundred twenty thousand, one".