10010000999988 has 144 divisors (see below), whose sum is σ = 28129009708800. Its totient is φ = 2975587080960.

The previous prime is 10010000999987. The next prime is 10010001000059. The reversal of 10010000999988 is 88999900001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000999987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131535733 + ... + 131611811.

It is an arithmetic number, because the mean of its divisors is an integer number (195340345200).

Almost surely, 2^{10010000999988} is an apocalyptic number.

10010000999988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010000999988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14064504854400).

10010000999988 is an abundant number, since it is smaller than the sum of its proper divisors (18119008708812).

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

10010000999988 is a wasteful number, since it uses less digits than its factorization.

10010000999988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82422 (or 82417 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The spelling of 10010000999988 in words is "ten trillion, ten billion, nine hundred ninety-nine thousand, nine hundred eighty-eight".