1000010001084 has 48 divisors (see below), whose sum is σ = 2378315888928. Its totient is φ = 326918861568.

The previous prime is 1000010001083. The next prime is 1000010001241. The reversal of 1000010001084 is 4801000100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010001083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1318794 + ... + 1933710.

It is an arithmetic number, because the mean of its divisors is an integer number (49548247686).

Almost surely, 2^{1000010001084} is an apocalyptic number.

It is an amenable number.

1000010001084 is an abundant number, since it is smaller than the sum of its proper divisors (1378305887844).

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

1000010001084 is a wasteful number, since it uses less digits than its factorization.

1000010001084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617534 (or 617532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1000010001084 its reverse (4801000100001), we get a palindrome (5801010101085).

The spelling of 1000010001084 in words is "one trillion, ten million, one thousand, eighty-four".