1111111002001 has 32 divisors (see below), whose sum is σ = 1492662140928. Its totient is φ = 798761010240.

The previous prime is 1111111001983. The next prime is 1111111002011. The reversal of 1111111002001 is 1002001111111.

It is a cyclic number.

It is not a de Polignac number, because 1111111002001 - 2¹³ = 1111110993809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1111111002011) 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, 1520380 + ... + 2129266.

It is an arithmetic number, because the mean of its divisors is an integer number (46645691904).

Almost surely, 2^{1111111002001} is an apocalyptic number.

1111111002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111111002001 is a deficient number, since it is larger than the sum of its proper divisors (381551138927).

1111111002001 is a wasteful number, since it uses less digits than its factorization.

1111111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610741.

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

Adding to 1111111002001 its reverse (1002001111111), we get a palindrome (2113112113112).

It can be divided in two parts, 111111 and 1002001, that multiplied together give a palindrome (111333333111).

The spelling of 1111111002001 in words is "one trillion, one hundred eleven billion, one hundred eleven million, two thousand, one".