10221025214400 has 2688 divisors, whose sum is σ = 46884044562432. Its totient is φ = 1881169920000.

The previous prime is 10221025214377. The next prime is 10221025214419. The reversal of 10221025214400 is 441252012201.

10221025214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12602989995 + ... + 12602990805.

It is an arithmetic number, because the mean of its divisors is an integer number (17441980864).

Almost surely, 2^{10221025214400} is an apocalyptic number.

10221025214400 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 10221025214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442022281216).

10221025214400 is an abundant number, since it is smaller than the sum of its proper divisors (36663019348032).

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

10221025214400 is a wasteful number, since it uses less digits than its factorization.

10221025214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10221025214400 its reverse (441252012201), we get a palindrome (10662277226601).

The spelling of 10221025214400 in words is "ten trillion, two hundred twenty-one billion, twenty-five million, two hundred fourteen thousand, four hundred".