10102401296 has 40 divisors (see below), whose sum is σ = 21424633944. Its totient is φ = 4586204160.

The previous prime is 10102401247. The next prime is 10102401313. The reversal of 10102401296 is 69210420101.

It can be written as a sum of positive squares in 4 ways, for example, as 642115600 + 9460285696 = 25340^2 + 97264^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385421 + ... + 410796.

Almost surely, 2^10102401296 is an apocalyptic number.

10102401296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10102401296 is an abundant number, since it is smaller than the sum of its proper divisors (11322232648).

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

10102401296 is a wasteful number, since it uses less digits than its factorization.

10102401296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796299 (or 796293 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 10102401296 its reverse (69210420101), we get a palindrome (79312821397).

The spelling of 10102401296 in words is "ten billion, one hundred two million, four hundred one thousand, two hundred ninety-six".