10301210022400 has 240 divisors, whose sum is σ = 27941429232288. Its totient is φ = 3732549632000.

The previous prime is 10301210022361. The next prime is 10301210022401. The reversal of 10301210022400 is 422001210301.

It is a super-2 number, since 2×10301210022400² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10301210022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39434619 + ... + 39694981.

Almost surely, 2^{10301210022400} is an apocalyptic number.

10301210022400 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 10301210022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970714616144).

10301210022400 is an abundant number, since it is smaller than the sum of its proper divisors (17640219209888).

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

10301210022400 is a wasteful number, since it uses less digits than its factorization.

10301210022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260683 (or 260662 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10301210022400 its reverse (422001210301), we get a palindrome (10723211232701).

The spelling of 10301210022400 in words is "ten trillion, three hundred one billion, two hundred ten million, twenty-two thousand, four hundred".