11101001010984 has 128 divisors (see below), whose sum is σ = 31497176332800. Its totient is φ = 3621031061760.

The previous prime is 11101001010977. The next prime is 11101001011021. The reversal of 11101001010984 is 48901010010111.

It is a happy number.

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

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, 66727234 + ... + 66893390.

It is an arithmetic number, because the mean of its divisors is an integer number (246071690100).

Almost surely, 2^{11101001010984} 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 11101001010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748588166400).

11101001010984 is an abundant number, since it is smaller than the sum of its proper divisors (20396175321816).

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

11101001010984 is a wasteful number, since it uses less digits than its factorization.

11101001010984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172800 (or 172790 counting only the distinct ones).

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

The spelling of 11101001010984 in words is "eleven trillion, one hundred one billion, one million, ten thousand, nine hundred eighty-four".