1010101010984 has 128 divisors (see below), whose sum is σ = 2148213312000. Its totient is φ = 442151823360.

The previous prime is 1010101010983. The next prime is 1010101011001. The reversal of 1010101010984 is 4890101010101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1010101010983) 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 31 ways as a sum of consecutive naturals, for example, 29843879 + ... + 29877705.

It is an arithmetic number, because the mean of its divisors is an integer number (16782916500).

Almost surely, 2^{1010101010984} 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 1010101010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074106656000).

1010101010984 is an abundant number, since it is smaller than the sum of its proper divisors (1138112301016).

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

1010101010984 is a wasteful number, since it uses less digits than its factorization.

1010101010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34083 (or 34079 counting only the distinct ones).

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

The spelling of 1010101010984 in words is "one trillion, ten billion, one hundred one million, ten thousand, nine hundred eighty-four".