10010001110984 has 128 divisors (see below), whose sum is σ = 23600408832000. Its totient is φ = 3880944866304.

The previous prime is 10010001110969. The next prime is 10010001111109. The reversal of 10010001110984 is 48901110001001.

10010001110984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10010001110984³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14167007 + ... + 14856785.

It is an arithmetic number, because the mean of its divisors is an integer number (184378194000).

Almost surely, 2^{10010001110984} is an apocalyptic number.

10010001110984 is a gapful number since it is divisible by the number (14) 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 10010001110984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800204416000).

10010001110984 is an abundant number, since it is smaller than the sum of its proper divisors (13590407721016).

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

10010001110984 is a wasteful number, since it uses less digits than its factorization.

10010001110984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690427 (or 690423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 26.

Adding to 10010001110984 its reverse (48901110001001), we get a palindrome (58911111111985).

The spelling of 10010001110984 in words is "ten trillion, ten billion, one million, one hundred ten thousand, nine hundred eighty-four".