10102350510400 has 84 divisors (see below), whose sum is σ = 24859013195260. Its totient is φ = 4040791142400.

The previous prime is 10102350510353. The next prime is 10102350510403. The reversal of 10102350510400 is 401505320101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 214746974464 + 9887603535936 = 463408^2 + 3144456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102350510403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50012806 + ... + 50214394.

Almost surely, 2^{10102350510400} is an apocalyptic number.

10102350510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102350510400 is an abundant number, since it is smaller than the sum of its proper divisors (14756662684860).

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

10102350510400 is a wasteful number, since it uses less digits than its factorization.

10102350510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232932 (or 232917 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 10102350510400 its reverse (401505320101), we get a palindrome (10503855830501).

The spelling of 10102350510400 in words is "ten trillion, one hundred two billion, three hundred fifty million, five hundred ten thousand, four hundred".