1111101200001 has 24 divisors (see below), whose sum is σ = 1728699696360. Its totient is φ = 683627970816.

The previous prime is 1111101199987. The next prime is 1111101200047. The reversal of 1111101200001 is 1000021011111.

It can be written as a sum of positive squares in 4 ways, for example, as 345402225 + 1110755797776 = 18585^2 + 1053924^2 .

It is not a de Polignac number, because 1111101200001 - 2¹⁸ = 1111100937857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1111101200071) 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 23 ways as a sum of consecutive naturals, for example, 242766 + ... + 1510343.

It is an arithmetic number, because the mean of its divisors is an integer number (72029154015).

Almost surely, 2^{1111101200001} is an apocalyptic number.

It is an amenable number.

1111101200001 is a deficient number, since it is larger than the sum of its proper divisors (617598496359).

1111101200001 is a wasteful number, since it uses less digits than its factorization.

1111101200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758545 (or 1758542 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1111101200001 its reverse (1000021011111), we get a palindrome (2111122211112).

The spelling of 1111101200001 in words is "one trillion, one hundred eleven billion, one hundred one million, two hundred thousand, one".