10010000211984 has 160 divisors (see below), whose sum is σ = 29284071056640. Its totient is φ = 3272643698688.

The previous prime is 10010000211947. The next prime is 10010000212001. The reversal of 10010000211984 is 48911200001001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71755069 + ... + 71894435.

It is an arithmetic number, because the mean of its divisors is an integer number (183025444104).

Almost surely, 2^{10010000211984} 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 10010000211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642035528320).

10010000211984 is an abundant number, since it is smaller than the sum of its proper divisors (19274070844656).

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

10010000211984 is a wasteful number, since it uses less digits than its factorization.

10010000211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142574 (or 142562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 10010000211984 its reverse (48911200001001), we get a palindrome (58921200212985).

The spelling of 10010000211984 in words is "ten trillion, ten billion, two hundred eleven thousand, nine hundred eighty-four".