10221340340000 has 240 divisors, whose sum is σ = 25643296768320. Its totient is φ = 4008332160000.

The previous prime is 10221340339963. The next prime is 10221340340017. The reversal of 10221340340000 is 4304312201.

10221340340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10221340340000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254159894 + ... + 254200106.

It is an arithmetic number, because the mean of its divisors is an integer number (106847069868).

Almost surely, 2^{10221340340000} is an apocalyptic number.

10221340340000 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 10221340340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821648384160).

10221340340000 is an abundant number, since it is smaller than the sum of its proper divisors (15421956428320).

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

10221340340000 is an equidigital number, since it uses as much as digits as its factorization.

10221340340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40493 (or 40470 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10221340340000 its reverse (4304312201), we get a palindrome (10225644652201).

The spelling of 10221340340000 in words is "ten trillion, two hundred twenty-one billion, three hundred forty million, three hundred forty thousand".