1016011101006 has 112 divisors (see below), whose sum is σ = 2623900919040. Its totient is φ = 291677740560.

The previous prime is 1016011100903. The next prime is 1016011101013. The reversal of 1016011101006 is 6001011106101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1016011101006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1362390 + ... + 1971833.

Almost surely, 2^{1016011101006} is an apocalyptic number.

1016011101006 is an abundant number, since it is smaller than the sum of its proper divisors (1607889818034).

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

1016011101006 is a wasteful number, since it uses less digits than its factorization.

1016011101006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334273 (or 3334258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1016011101006 its reverse (6001011106101), we get a palindrome (7017022207107).

The spelling of 1016011101006 in words is "one trillion, sixteen billion, eleven million, one hundred one thousand, six".