10251102400 has 168 divisors, whose sum is σ = 31448630016. Its totient is φ = 3195110400.

The previous prime is 10251102361. The next prime is 10251102401. The reversal of 10251102400 is 420115201.

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 (10251102401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81597 + ... + 164803.

Almost surely, 2^10251102400 is an apocalyptic number.

10251102400 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 10251102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724315008).

10251102400 is an abundant number, since it is smaller than the sum of its proper divisors (21197527616).

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

10251102400 is a wasteful number, since it uses less digits than its factorization.

10251102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83247 (or 83232 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10251102400 its reverse (420115201), we get a palindrome (10671217601).

The spelling of 10251102400 in words is "ten billion, two hundred fifty-one million, one hundred two thousand, four hundred".