1010100016 has 40 divisors (see below), whose sum is σ = 2162299104. Its totient is φ = 454671360.

The previous prime is 1010100011. The next prime is 1010100019. The reversal of 1010100016 is 6100010101.

1010100016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010099975 and 1010100011.

It is not an unprimeable number, because it can be changed into a prime (1010100011) 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, 74475 + ... + 86986.

Almost surely, 2^1010100016 is an apocalyptic number.

1010100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010100016 is an abundant number, since it is smaller than the sum of its proper divisors (1152199088).

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

1010100016 is a wasteful number, since it uses less digits than its factorization.

1010100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161509 (or 161503 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1010100016 is about 31782.0706688535. The cubic root of 1010100016 is about 1003.3554006937.

Adding to 1010100016 its reverse (6100010101), we get a palindrome (7110110117).

The spelling of 1010100016 in words is "one billion, ten million, one hundred thousand, sixteen".