1101001000016 has 10 divisors (see below), whose sum is σ = 2133189437562. Its totient is φ = 550500500000.

The previous prime is 1101001000013. The next prime is 1101001000027. The reversal of 1101001000016 is 6100001001011.

It can be written as a sum of positive squares in only one way, i.e., 879461337616 + 221539662400 = 937796^2 + 470680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1101000999970 and 1101001000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34406281235 + ... + 34406281266.

Almost surely, 2^{1101001000016} is an apocalyptic number.

1101001000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1101001000016 is a deficient number, since it is larger than the sum of its proper divisors (1032188437546).

1101001000016 is an equidigital number, since it uses as much as digits as its factorization.

1101001000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68812562509 (or 68812562503 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1101001000016 its reverse (6100001001011), we get a palindrome (7201002001027).

The spelling of 1101001000016 in words is "one trillion, one hundred one billion, one million, sixteen", and thus it is an aban number.