10021011112000 has 224 divisors, whose sum is σ = 28550178648576. Its totient is φ = 3413018880000.

The previous prime is 10021011111983. The next prime is 10021011112033. The reversal of 10021011112000 is 21111012001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7863462 + ... + 9048538.

Almost surely, 2^{10021011112000} is an apocalyptic number.

10021011112000 is a gapful number since it is divisible by the number (10) 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 10021011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275089324288).

10021011112000 is an abundant number, since it is smaller than the sum of its proper divisors (18529167536576).

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

10021011112000 is a wasteful number, since it uses less digits than its factorization.

10021011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185262 (or 1185242 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021011112000 its reverse (21111012001), we get a palindrome (10042122124001).

Subtracting from 10021011112000 its reverse (21111012001), we obtain a palindrome (9999900099999).

The spelling of 10021011112000 in words is "ten trillion, twenty-one billion, eleven million, one hundred twelve thousand".