100307121135 has 256 divisors, whose sum is σ = 194120908800. Its totient is φ = 43781990400.

The previous prime is 100307121133. The next prime is 100307121143. The reversal of 100307121135 is 531121703001.

It is a happy number.

It is not a de Polignac number, because 100307121135 - 2¹ = 100307121133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100307121133) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 721633896 + ... + 721634034.

It is an arithmetic number, because the mean of its divisors is an integer number (758284800).

Almost surely, 2^100307121135 is an apocalyptic number.

100307121135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100307121135 is a deficient number, since it is larger than the sum of its proper divisors (93813787665).

100307121135 is a wasteful number, since it uses less digits than its factorization.

100307121135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374.

The product of its (nonzero) digits is 630, while the sum is 24.

Adding to 100307121135 its reverse (531121703001), we get a palindrome (631428824136).

The spelling of 100307121135 in words is "one hundred billion, three hundred seven million, one hundred twenty-one thousand, one hundred thirty-five".