10135013504100 has 288 divisors, whose sum is σ = 30200217479040. Its totient is φ = 2623206850560.

The previous prime is 10135013504089. The next prime is 10135013504111. The reversal of 10135013504100 is 140531053101.

It is an interprime number because it is at equal distance from previous prime (10135013504089) and next prime (10135013504111).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 743410884 + ... + 743424516.

Almost surely, 2^{10135013504100} is an apocalyptic number.

10135013504100 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 10135013504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100108739520).

10135013504100 is an abundant number, since it is smaller than the sum of its proper divisors (20065203974940).

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

10135013504100 is a wasteful number, since it uses less digits than its factorization.

10135013504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14232 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10135013504100 its reverse (140531053101), we get a palindrome (10275544557201).

The spelling of 10135013504100 in words is "ten trillion, one hundred thirty-five billion, thirteen million, five hundred four thousand, one hundred".