10021120230000 has 400 divisors, whose sum is σ = 36507321417600. Its totient is φ = 2345589120000.

The previous prime is 10021120229983. The next prime is 10021120230001. The reversal of 10021120230000 is 3202112001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×10021120230000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021120230001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9046431 + ... + 10093569.

It is an arithmetic number, because the mean of its divisors is an integer number (91268303544).

Almost surely, 2^{10021120230000} is an apocalyptic number.

10021120230000 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 10021120230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253660708800).

10021120230000 is an abundant number, since it is smaller than the sum of its proper divisors (26486201187600).

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

10021120230000 is a wasteful number, since it uses less digits than its factorization.

10021120230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047210 (or 1047189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10021120230000 its reverse (3202112001), we get a palindrome (10024322342001).

The spelling of 10021120230000 in words is "ten trillion, twenty-one billion, one hundred twenty million, two hundred thirty thousand".