10202010112000 has 312 divisors, whose sum is σ = 29618097373800. Its totient is φ = 3497823436800.

The previous prime is 10202010111983. The next prime is 10202010112003. The reversal of 10202010112000 is 21101020201.

It can be written as a sum of positive squares in 4 ways, for example, as 21724401664 + 10180285710336 = 147392^2 + 3190656^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202010112003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24884676 + ... + 25291324.

It is an arithmetic number, because the mean of its divisors is an integer number (94929799275).

Almost surely, 2^{10202010112000} is an apocalyptic number.

10202010112000 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 10202010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809048686900).

10202010112000 is an abundant number, since it is smaller than the sum of its proper divisors (19416087261800).

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

10202010112000 is an frugal number, since it uses more digits than its factorization.

10202010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406702 (or 406663 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202010112000 its reverse (21101020201), we get a palindrome (10223111132201).

The spelling of 10202010112000 in words is "ten trillion, two hundred two billion, ten million, one hundred twelve thousand".