1001101100012 has 72 divisors (see below), whose sum is σ = 1904077375200. Its totient is φ = 460340195328.

The previous prime is 1001101100011. The next prime is 1001101100057. The reversal of 1001101100012 is 2100011011001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1001101100011) 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 23 ways as a sum of consecutive naturals, for example, 233409164 + ... + 233413452.

It is an arithmetic number, because the mean of its divisors is an integer number (26445519100).

Almost surely, 2^{1001101100012} is an apocalyptic number.

It is an amenable number.

1001101100012 is a deficient number, since it is larger than the sum of its proper divisors (902976275188).

1001101100012 is a wasteful number, since it uses less digits than its factorization.

1001101100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001101100012 its reverse (2100011011001), we get a palindrome (3101112111013).

The spelling of 1001101100012 in words is "one trillion, one billion, one hundred one million, one hundred thousand, twelve".