10135201600 has 42 divisors (see below), whose sum is σ = 24938934374. Its totient is φ = 4054080000.

The previous prime is 10135201591. The next prime is 10135201621. The reversal of 10135201600 is 610253101.

It can be written as a sum of positive squares in 3 ways, for example, as 16451136 + 10118750464 = 4056^2 + 100592^2 .

It is a super-3 number, since 3×10135201600³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3165651 + ... + 3168850.

Almost surely, 2^10135201600 is an apocalyptic number.

10135201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135201600 is an abundant number, since it is smaller than the sum of its proper divisors (14803732774).

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

10135201600 is an equidigital number, since it uses as much as digits as its factorization.

10135201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334523 (or 6334508 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10135201600 its reverse (610253101), we get a palindrome (10745454701).

The spelling of 10135201600 in words is "ten billion, one hundred thirty-five million, two hundred one thousand, six hundred".