100513151200 has 324 divisors, whose sum is σ = 313762246056. Its totient is φ = 31327296000.

The previous prime is 100513151099. The next prime is 100513151201. The reversal of 100513151200 is 2151315001.

It is a super-2 number, since 2×100513151200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100513151201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4732605 + ... + 4753795.

It is an arithmetic number, because the mean of its divisors is an integer number (968401994).

Almost surely, 2^100513151200 is an apocalyptic number.

100513151200 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 100513151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156881123028).

100513151200 is an abundant number, since it is smaller than the sum of its proper divisors (213249094856).

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

100513151200 is a wasteful number, since it uses less digits than its factorization.

100513151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 100513151200 its reverse (2151315001), we get a palindrome (102664466201).

It can be divided in two parts, 1005131 and 51200, that added together give a triangular number (1056331 = T₁₄₅₃).

The spelling of 100513151200 in words is "one hundred billion, five hundred thirteen million, one hundred fifty-one thousand, two hundred".