1101011101002 has 40 divisors (see below), whose sum is σ = 2477853790500. Its totient is φ = 365401051776.

The previous prime is 1101011100997. The next prime is 1101011101007. The reversal of 1101011101002 is 2001011101011.

It is an interprime number because it is at equal distance from previous prime (1101011100997) and next prime (1101011101007).

It can be written as a sum of positive squares in 2 ways, for example, as 1080017699121 + 20993401881 = 1039239^2 + 144891^2 .

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 (1101011101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14802127 + ... + 14876322.

Almost surely, 2^{1101011101002} is an apocalyptic number.

1101011101002 is an abundant number, since it is smaller than the sum of its proper divisors (1376842689498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101011101002 is a wasteful number, since it uses less digits than its factorization.

1101011101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678692 (or 29678683 counting only the distinct ones).

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

Adding to 1101011101002 its reverse (2001011101011), we get a palindrome (3102022202013).

Subtracting 1101011101002 from its reverse (2001011101011), we obtain a palindrome (900000000009).

The spelling of 1101011101002 in words is "one trillion, one hundred one billion, eleven million, one hundred one thousand, two".