1001012102016 has 64 divisors (see below), whose sum is σ = 2659042630800. Its totient is φ = 333657620480.

The previous prime is 1001012101979. The next prime is 1001012102053. The reversal of 1001012102016 is 6102012101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001012101979) and next prime (1001012102053).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1001012101986 and 1001012102004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18835930 + ... + 18888998.

Almost surely, 2^{1001012102016} is an apocalyptic number.

1001012102016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1001012102016 is an abundant number, since it is smaller than the sum of its proper divisors (1658030528784).

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

1001012102016 is an equidigital number, since it uses as much as digits as its factorization.

1001012102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102207 (or 102195 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1001012102016 its reverse (6102012101001), we get a palindrome (7103024203017).

The spelling of 1001012102016 in words is "one trillion, one billion, twelve million, one hundred two thousand, sixteen".