10021303110400 has 432 divisors, whose sum is σ = 25533450942048. Its totient is φ = 3892838400000.

The previous prime is 10021303110361. The next prime is 10021303110431. The reversal of 10021303110400 is 401130312001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11374917960 + ... + 11374918840.

It is an arithmetic number, because the mean of its divisors is an integer number (59105210514).

Almost surely, 2^{10021303110400} is an apocalyptic number.

10021303110400 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 10021303110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766725471024).

10021303110400 is an abundant number, since it is smaller than the sum of its proper divisors (15512147831648).

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

10021303110400 is an equidigital number, since it uses as much as digits as its factorization.

10021303110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10021303110400 its reverse (401130312001), we get a palindrome (10422433422401).

The spelling of 10021303110400 in words is "ten trillion, twenty-one billion, three hundred three million, one hundred ten thousand, four hundred".