1111020001101 has 12 divisors (see below), whose sum is σ = 1631114975100. Its totient is φ = 728537705280.

The previous prime is 1111020001067. The next prime is 1111020001129. The reversal of 1111020001101 is 1011000201111.

It can be written as a sum of positive squares in 2 ways, for example, as 532500035076 + 578519966025 = 729726^2 + 760605^2 .

It is not a de Polignac number, because 1111020001101 - 2⁷ = 1111020000973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111020001901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011857376 + ... + 1011858473.

It is an arithmetic number, because the mean of its divisors is an integer number (135926247925).

Almost surely, 2^{1111020001101} is an apocalyptic number.

It is an amenable number.

1111020001101 is a deficient number, since it is larger than the sum of its proper divisors (520094973999).

1111020001101 is a wasteful number, since it uses less digits than its factorization.

1111020001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023715916 (or 2023715913 counting only the distinct ones).

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

Adding to 1111020001101 its reverse (1011000201111), we get a palindrome (2122020202212).

The spelling of 1111020001101 in words is "one trillion, one hundred eleven billion, twenty million, one thousand, one hundred one".