1100101006449 has 27 divisors (see below), whose sum is σ = 1677161100459. Its totient is φ = 694762876800.

The previous prime is 1100101006447. The next prime is 1100101006457. The reversal of 1100101006449 is 9446001010011.

The square root of 1100101006449 is 1048857.

It is a perfect power (a square), and thus also a powerful number.

1100101006449 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 0 + 10 + 0 + 644 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 495625856049 + 604475150400 = 704007^2 + 777480^2 .

It is not a de Polignac number, because 1100101006449 - 2¹ = 1100101006447 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1100101006447) 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 26 ways as a sum of consecutive naturals, for example, 59775649 + ... + 59794049.

Almost surely, 2^{1100101006449} is an apocalyptic number.

1100101006449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1100101006449 is the 1048857-th square number.

1100101006449 is the 524429-th centered octagonal number.

It is an amenable number.

1100101006449 is a deficient number, since it is larger than the sum of its proper divisors (577060094010).

1100101006449 is an frugal number, since it uses more digits than its factorization.

1100101006449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36846 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1100101006449 in words is "one trillion, one hundred billion, one hundred one million, six thousand, four hundred forty-nine".