10001010100984 has 128 divisors (see below), whose sum is σ = 22410531348480. Its totient is φ = 4094099251200.

The previous prime is 10001010100969. The next prime is 10001010100999. The reversal of 10001010100984 is 48900101010001.

It is an interprime number because it is at equal distance from previous prime (10001010100969) and next prime (10001010100999).

It is a congruent number.

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, 47170717 + ... + 47382259.

It is an arithmetic number, because the mean of its divisors is an integer number (175082276160).

Almost surely, 2^{10001010100984} is an apocalyptic number.

10001010100984 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 10001010100984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205265674240).

10001010100984 is an abundant number, since it is smaller than the sum of its proper divisors (12409521247496).

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

10001010100984 is a wasteful number, since it uses less digits than its factorization.

10001010100984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211941 (or 211937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

Adding to 10001010100984 its reverse (48900101010001), we get a palindrome (58901111110985).

The spelling of 10001010100984 in words is "ten trillion, one billion, ten million, one hundred thousand, nine hundred eighty-four".