10021311123200 has 864 divisors, whose sum is σ = 29137399087104. Its totient is φ = 3378736005120.

The previous prime is 10021311123163. The next prime is 10021311123211. The reversal of 10021311123200 is 232111312001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8442553007 + ... + 8442554193.

It is an arithmetic number, because the mean of its divisors is an integer number (33723841536).

Almost surely, 2^{10021311123200} is an apocalyptic number.

10021311123200 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 10021311123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568699543552).

10021311123200 is an abundant number, since it is smaller than the sum of its proper divisors (19116087963904).

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

10021311123200 is a wasteful number, since it uses less digits than its factorization.

10021311123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10021311123200 its reverse (232111312001), we get a palindrome (10253422435201).

The spelling of 10021311123200 in words is "ten trillion, twenty-one billion, three hundred eleven million, one hundred twenty-three thousand, two hundred".