10135241200 has 240 divisors, whose sum is σ = 28438465536. Its totient is φ = 3399782400.

The previous prime is 10135241173. The next prime is 10135241209. The reversal of 10135241200 is 214253101.

It is a super-2 number, since 2×10135241200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135241209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32589045 + ... + 32589355.

Almost surely, 2^10135241200 is an apocalyptic number.

10135241200 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 10135241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219232768).

10135241200 is an abundant number, since it is smaller than the sum of its proper divisors (18303224336).

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

10135241200 is a wasteful number, since it uses less digits than its factorization.

10135241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10135241200 its reverse (214253101), we get a palindrome (10349494301).

The spelling of 10135241200 in words is "ten billion, one hundred thirty-five million, two hundred forty-one thousand, two hundred".