10021024211112 has 128 divisors (see below), whose sum is σ = 28230564960000. Its totient is φ = 3293022781440.

The previous prime is 10021024211071. The next prime is 10021024211147. The reversal of 10021024211112 is 21111242012001.

10021024211112 is a `hidden beast` number, since 10 + 0 + 210 + 2 + 421 + 11 + 12 = 666.

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

It is an unprimeable number.

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, 282670764 + ... + 282706212.

It is an arithmetic number, because the mean of its divisors is an integer number (220551288750).

Almost surely, 2^{10021024211112} is an apocalyptic number.

10021024211112 is a gapful number since it is divisible by the number (12) 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 10021024211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115282480000).

10021024211112 is an abundant number, since it is smaller than the sum of its proper divisors (18209540748888).

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

10021024211112 is a wasteful number, since it uses less digits than its factorization.

10021024211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53968 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10021024211112 its reverse (21111242012001), we get a palindrome (31132266223113).

The spelling of 10021024211112 in words is "ten trillion, twenty-one billion, twenty-four million, two hundred eleven thousand, one hundred twelve".