10212011424 has 144 divisors (see below), whose sum is σ = 29427095880. Its totient is φ = 3358924800.

The previous prime is 10212011417. The next prime is 10212011443. The reversal of 10212011424 is 42411021201.

It can be written as a sum of positive squares in 4 ways, for example, as 7045923600 + 3166087824 = 83940^2 + 56268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212011397 and 10212011406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16550764 + ... + 16551380.

Almost surely, 2^10212011424 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 10212011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713547940).

10212011424 is an abundant number, since it is smaller than the sum of its proper divisors (19215084456).

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

10212011424 is a wasteful number, since it uses less digits than its factorization.

10212011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212011424 its reverse (42411021201), we get a palindrome (52623032625).

The spelling of 10212011424 in words is "ten billion, two hundred twelve million, eleven thousand, four hundred twenty-four".