10011011010984 has 128 divisors (see below), whose sum is σ = 28713100492800. Its totient is φ = 3228492980160.

The previous prime is 10011011010983. The next prime is 10011011010991. The reversal of 10011011010984 is 48901011011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10011011010983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25025389 + ... + 25422275.

It is an arithmetic number, because the mean of its divisors is an integer number (224321097600).

Almost surely, 2^{10011011010984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011011010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356550246400).

10011011010984 is an abundant number, since it is smaller than the sum of its proper divisors (18702089481816).

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

10011011010984 is a wasteful number, since it uses less digits than its factorization.

10011011010984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400700 (or 400690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 10011011010984 its reverse (48901011011001), we get a palindrome (58912022021985).

The spelling of 10011011010984 in words is "ten trillion, eleven billion, eleven million, ten thousand, nine hundred eighty-four".