10301152400 has 180 divisors, whose sum is σ = 31406940720. Its totient is φ = 3210681600.

The previous prime is 10301152387. The next prime is 10301152429. The reversal of 10301152400 is 425110301.

It is a super-2 number, since 2×10301152400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191711 + ... + 239489.

It is an arithmetic number, because the mean of its divisors is an integer number (174483004).

Almost surely, 2^10301152400 is an apocalyptic number.

10301152400 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 10301152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703470360).

10301152400 is an abundant number, since it is smaller than the sum of its proper divisors (21105788320).

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

10301152400 is a wasteful number, since it uses less digits than its factorization.

10301152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47822 (or 47804 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10301152400 its reverse (425110301), we get a palindrome (10726262701).

The spelling of 10301152400 in words is "ten billion, three hundred one million, one hundred fifty-two thousand, four hundred".