1111101201001 has 32 divisors (see below), whose sum is σ = 1279104739200. Its totient is φ = 954532615680.

The previous prime is 1111101200953. The next prime is 1111101201011. The reversal of 1111101201001 is 1001021011111.

It is not a de Polignac number, because 1111101201001 - 2¹¹ = 1111101198953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111101201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232008715 + ... + 232013503.

It is an arithmetic number, because the mean of its divisors is an integer number (39972023100).

Almost surely, 2^{1111101201001} is an apocalyptic number.

1111101201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111101201001 is a deficient number, since it is larger than the sum of its proper divisors (168003538199).

1111101201001 is a wasteful number, since it uses less digits than its factorization.

1111101201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1111101201001 its reverse (1001021011111), we get a palindrome (2112122212112).

The spelling of 1111101201001 in words is "one trillion, one hundred eleven billion, one hundred one million, two hundred one thousand, one".