1111002101001 has 56 divisors (see below), whose sum is σ = 1804492328520. Its totient is φ = 683692615008.

The previous prime is 1111002100969. The next prime is 1111002101021. The reversal of 1111002101001 is 1001012001111.

It can be written as a sum of positive squares in 4 ways, for example, as 724958588025 + 386043512976 = 851445^2 + 621324^2 .

It is not a de Polignac number, because 1111002101001 - 2⁵ = 1111002100969 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 (1111002101021) 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 55 ways as a sum of consecutive naturals, for example, 1254775 + ... + 1948451.

It is an arithmetic number, because the mean of its divisors is an integer number (32223077295).

Almost surely, 2^{1111002101001} is an apocalyptic number.

It is an amenable number.

1111002101001 is a deficient number, since it is larger than the sum of its proper divisors (693490227519).

1111002101001 is an frugal number, since it uses more digits than its factorization.

1111002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693734 (or 693693 counting only the distinct ones).

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

Adding to 1111002101001 its reverse (1001012001111), we get a palindrome (2112014102112).

The spelling of 1111002101001 in words is "one trillion, one hundred eleven billion, two million, one hundred one thousand, one".