1111101000001 has 32 divisors (see below), whose sum is σ = 1202869440000. Its totient is φ = 1022469568512.

The previous prime is 1111100999999. The next prime is 1111101000029. The reversal of 1111101000001 is 1000001011111.

It is a happy number.

It is not a de Polignac number, because 1111101000001 - 2¹ = 1111100999999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111101000091) 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 31 ways as a sum of consecutive naturals, for example, 238995525 + ... + 239000173.

It is an arithmetic number, because the mean of its divisors is an integer number (37589670000).

Almost surely, 2^{1111101000001} is an apocalyptic number.

It is an amenable number.

1111101000001 is a deficient number, since it is larger than the sum of its proper divisors (91768439999).

1111101000001 is a wasteful number, since it uses less digits than its factorization.

1111101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1111101000001 its reverse (1000001011111), we get a palindrome (2111102011112).

It can be divided in two parts, 111110 and 1000001, that added together give a palindrome (1111111).

The spelling of 1111101000001 in words is "one trillion, one hundred eleven billion, one hundred one million, one", and thus it is an aban number.