1101002016 has 48 divisors (see below), whose sum is σ = 2892081024. Its totient is φ = 366753024.

The previous prime is 1101002011. The next prime is 1101002027. The reversal of 1101002016 is 6102001011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101001992 and 1101002010.

It is not an unprimeable number, because it can be changed into a prime (1101002011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188841 + ... + 194583.

It is an arithmetic number, because the mean of its divisors is an integer number (60251688).

Almost surely, 2^1101002016 is an apocalyptic number.

1101002016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1101002016 is an abundant number, since it is smaller than the sum of its proper divisors (1791079008).

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

1101002016 is a wasteful number, since it uses less digits than its factorization.

1101002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1101002016 is about 33181.3504245985. The cubic root of 1101002016 is about 1032.5934631159.

Adding to 1101002016 its reverse (6102001011), we get a palindrome (7203003027).

The spelling of 1101002016 in words is "one billion, one hundred one million, two thousand, sixteen".