10135021200 has 60 divisors (see below), whose sum is σ = 32465855088. Its totient is φ = 2702672000.

The previous prime is 10135021151. The next prime is 10135021201. The reversal of 10135021200 is 212053101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10135021200.

It is not an unprimeable number, because it can be changed into a prime (10135021201) 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, 4221726 + ... + 4224125.

Almost surely, 2^10135021200 is an apocalyptic number.

10135021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135021200 is an abundant number, since it is smaller than the sum of its proper divisors (22330833888).

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

10135021200 is a wasteful number, since it uses less digits than its factorization.

10135021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445872 (or 8445861 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10135021200 its reverse (212053101), we get a palindrome (10347074301).

The spelling of 10135021200 in words is "ten billion, one hundred thirty-five million, twenty-one thousand, two hundred".