10100220984 has 96 divisors (see below), whose sum is σ = 31290779520. Its totient is φ = 2883175488.

The previous prime is 10100220983. The next prime is 10100221003. The reversal of 10100220984 is 48902200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100220983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589807 + ... + 606689.

It is an arithmetic number, because the mean of its divisors is an integer number (325945620).

Almost surely, 2^10100220984 is an apocalyptic number.

10100220984 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 10100220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645389760).

10100220984 is an abundant number, since it is smaller than the sum of its proper divisors (21190558536).

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

10100220984 is a wasteful number, since it uses less digits than its factorization.

10100220984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18089 (or 18082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10100220984 in words is "ten billion, one hundred million, two hundred twenty thousand, nine hundred eighty-four".